by using prime factorisation method find hcf and lcm of 72,126,168. also show that hcf ×lcm is not equal to product of three numbers
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Answered by
469
Hii friend,
Prime factorisation of 72 = 2 × 2 × 2 × 3 × 3
Prime factorisation of 126 = 2 × 3 × 3 × 7
Prime factorisation of 168 = 2 × 2 × 2 × 3 × 7
HCF of 72 , 126 and 168 = 2 × 3 = 6
LCM of 72 , 126 and 168 = 2 × 3 × 2 × 2 × 3 × 3 × 7 = 1512.
Product of three numbers = 72 × 126 × 168 = 1524096.
Whereas,
Product of HCF and LCM = 1512 × 6 = 9072
Hence,
Product of three numbers is not equal to Product of their LCM and HCF
HOPE IT WILL HELP YOU... :-)
Prime factorisation of 72 = 2 × 2 × 2 × 3 × 3
Prime factorisation of 126 = 2 × 3 × 3 × 7
Prime factorisation of 168 = 2 × 2 × 2 × 3 × 7
HCF of 72 , 126 and 168 = 2 × 3 = 6
LCM of 72 , 126 and 168 = 2 × 3 × 2 × 2 × 3 × 3 × 7 = 1512.
Product of three numbers = 72 × 126 × 168 = 1524096.
Whereas,
Product of HCF and LCM = 1512 × 6 = 9072
Hence,
Product of three numbers is not equal to Product of their LCM and HCF
HOPE IT WILL HELP YOU... :-)
atulnavhare89:
The ans is helpful.
Answered by
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hope it helps you mark as brainliest
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