MHSB - 7 - Maths :: LCM HCF
Go To:MSCERT-Mathematics-Grade 7
Course Content / Subtopic list:
- Twin Prime Numbers
- Prime Factorisation Of A Number
- Greatest Common Divisor, (Gcd) Or Highest Common Factor
- Least Common Multiple (Lcm)
- Use Of Lcm And Hcf
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)





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