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Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers?
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Using prime factorisation. method find LCM and HCF of 72,126,168 show ...
Prime Factorisation of Numbers
To find the LCM and HCF of 72, 126, and 168, we first need to prime factorise each number.
72 = 2^3 x 3^2
126 = 2 x 3^2 x 7
168 = 2^3 x 3 x 7
Calculating LCM and HCF
LCM: To find the LCM, we take the highest power of each prime factor present in the numbers.
LCM = 2^3 x 3^2 x 7 = 504
HCF: To find the HCF, we take the lowest power of each prime factor present in the numbers.
HCF = 2 x 3 = 6
Verification of Relationship
To verify that HCF x LCM is not equal to the product of the three numbers, we calculate the product of the numbers:
72 x 126 x 168 = 1612432
HCF x LCM = 6 x 504 = 3024
As we can see, the product of the three numbers (1612432) is not equal to the product of HCF and LCM (3024), which confirms the relationship HCF x LCM ≠ Product of Numbers.
To find the LCM and HCF of 72, 126, and 168, we first need to prime factorise each number.
72 = 2^3 x 3^2
126 = 2 x 3^2 x 7
168 = 2^3 x 3 x 7
Calculating LCM and HCF
LCM: To find the LCM, we take the highest power of each prime factor present in the numbers.
LCM = 2^3 x 3^2 x 7 = 504
HCF: To find the HCF, we take the lowest power of each prime factor present in the numbers.
HCF = 2 x 3 = 6
Verification of Relationship
To verify that HCF x LCM is not equal to the product of the three numbers, we calculate the product of the numbers:
72 x 126 x 168 = 1612432
HCF x LCM = 6 x 504 = 3024
As we can see, the product of the three numbers (1612432) is not equal to the product of HCF and LCM (3024), which confirms the relationship HCF x LCM ≠ Product of Numbers.
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Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers?
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Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers?.
Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using prime factorisation. method find LCM and HCF of 72,126,168 show that HCM ×LCM is not ≠ to product of three numbers?.
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