MHSB - 7 - Maths :: LCM HCF

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Go To:MSCERT-Mathematics-Grade 7

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Course Content / Subtopic list:


  1. Twin Prime Numbers
  2. Prime Factorisation Of A Number
  3. Greatest Common Divisor, (Gcd) Or Highest Common Factor
  4. Least Common Multiple (Lcm)
  5. Use Of Lcm And Hcf

English Medium

English medium textbook

Marathi Medium

Marathi medium textbook


Lesson Plan

[Contributor - Kripa S]


Objective: To find our factors for two numbers, their LCM and HCF

Subtopics to be covered:

- Prime factorization, factor tree

- HCF, LCM

- word problems to find HCF and LCM

Learning Outcome:

- Students can find the LCM and HCF for given 2 numbers




Videos

[Contributor - Kripa S]


https://www.youtube.com/watch?v=LjVMJtAoPGA (LCM, HCF)

https://www.youtube.com/watch?v=SttLXxo2h_U (LCM)

https://www.youtube.com/watch?v=ztHTQW8qf_E (HCF)


Images

[Contributor - Kripa S]


https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQtJmzmpF7EfciVOD1OY2RoLwybvcPCVA-tFJViKdCQkQkRfJ3R ( example of prime, composite numbers)

https://s-media-cache-ak0.pinimg.com/736x/8c/97/f4/8c97f4fcc932d5b371b54dfe6cae378c.jpg (LCM example)

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcTBe6D5FxPtICab9GD04ba6MW3NgR5Csvly5tWkEyMry8mMMfEkcQ (factor tree)

Activities

[Contributor - Kripa S]


1. Quiz: Ram takes bath once in two days. Shyam takes bath once in three days. How many times in a month do they take bath on the same day ?

2. Stand on the ends of the classroom making a huge circle. Start counting from 1. When it is time to say 4, say Meow. Again at 8 say Meow. If you say the number (table of 4) you are out. Let us see who wins. Repeat this game for table of 6, 7, 8 etc.


Additional Aids

[Contributor - Niranjan Kadam]


https://drive.google.com/open?id=0BzNF2YyqQxJ-em1TMXl4Nks5MUk


[Contributor - Kripa S]


https://community.ekstep.in/preview/content/do_31217922263790387211329 (Video on LCM HCF) (Source: Ekstep)


Transliteration

[Contributor - Satish Kothari, Surabhi Lavangare]

Term' Transliterated Term Translated Term
HCF and LCM एच सि एफ एन्ड एल सि एम मसावि लसावि
smallest स्मौलेस्ट सर्वांत लहान
prime number प्राइम नंबर मूळ संख्या
Coprime , relatively prime, mutually prime numbers को प्राइम, रिलेटिव्ली प्राइम, म्युचुवली प्राइम नंबर्स सहमूळ संख्या, सापेक्ष मूळ संख्या
common factor कौमन फॅक्टर अवयव
consecutive natural numbers कोन्सिक्यूटिव नॅच्युरल नंबर्स

लागोपाठ स्वाभाविक संख्या||

Twin Prime Number ट्विन प्राइम नंबर जोडमूळ संख्या
even prime number इवन प्राइम नंबर समपातळीची मूळ संख्या
Prime Factors प्राइम फॅक्टर मूळ अवयव
Vertical arrangement वरटिकल अरेंजमेन्ट उभी मांडणी
Horizontal arrangement होरिजेंटल अरेंजमेन्ट आडवी मांडणी
Greatest Common Divisor (GCD) or Highest Common Factor (HCF) ग्रेटेस्ट कौमन डिवाईझर ऑर हायेस्ट कौमन फॅक्टर महत्तम सामाईक विभाजक
thrice त्राईस तीनदा
consecutive odd number कोन्सिक्यूटिव ऑड नंबर

लागोपाठ विचित्र संख्या||

remainder रिमेन्डर उर्वरित
simplest form सिपलेस्ट फॉर्म

सर्वात सोपा फॉर्म||

numerator न्युमरेटर

व्यवहारी अपूर्णांकातील अंश||

division method डिविजन मेथड

भागाकार पद्धत||

reduce रेड्युस

कमी करणे||

divisible डिविसिबल विभाज्य
Least Common Multiple (LCM) लिस्ट कौमन मल्टिपल

किमान सामान्य एकाधिक ||

Multiply मल्टिप्लाय

गुणाकार||

Compare कमपॅर

तुलना करा||

unitary method युनिटरी मेथड

एकाग्र पद्धत||

calculation कैलक्युलेन गणना
lowest terms लोवेस्ट टर्म

सर्वात कमी अटी||

greatest number ग्रेटस्ट नंबर

मोठी संख्या||

circular track सर्क्युलर ट्रॅक परिपत्रक ट्रॅक

Worksheets

[Contributor - Niranjan Kadam]


https://drive.google.com/open?id=0BzNF2YyqQxJ-aFZNWHcxbFVXYW8


[COntributor - Aditi Nadkarni]

https://drive.google.com/open?id=1ll8DSaIPFDXvdQ9mDB0ckSLDrqi8iICX (Worksheet 1)

https://drive.google.com/open?id=1380bL5JfM-GLm3xwwIgFeij7un47OW-O (Worksheet 2)

https://drive.google.com/open?id=1mFTugyUN27VBgPmDKfgw77vttkggU5Bb (Worksheet 3)


Worksheets [Version 2021]


https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2525_ST+4225_V1.pdf (Worksheet 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2525_ST+4226_V1.pdf (Worksheet 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2525_ST+4227_V1.pdf (Worksheet 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2525_ST+4228_V1.pdf (Worksheet 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2525_ST+4229_V1.pdf (Worksheet 5)


Answer Keys [Version 2021]


https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2525_ST+4225_V1.docx (Answerkey 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2525_ST+4226_V1.docx (Answerkey 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2525_ST+4227_V1.docx(Answerkey 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2525_ST+4228_V1.docx(Answerkey 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2525_ST+4229_V1.docx(Answerkey 5)



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