Find the lcm and hcf of 510 and 92 by prime factorization method and verify the relation between lcm hcf and numbers
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510=2×5×3×17
92=2×2×23
LCM(510,92)=Product of greatest power of each factor
=2×2×3×5×17×23
=23,460
HCF(510,92)=Product of lowest power if each common factor
=2
We know that LCM×HCF=Product of the numbers
So,LCM×HCF=23,460×2=46,920
Product of the two numbers=510×92=46,920
Hence,relation between LCM and HCF and numbers is verified.
92=2×2×23
LCM(510,92)=Product of greatest power of each factor
=2×2×3×5×17×23
=23,460
HCF(510,92)=Product of lowest power if each common factor
=2
We know that LCM×HCF=Product of the numbers
So,LCM×HCF=23,460×2=46,920
Product of the two numbers=510×92=46,920
Hence,relation between LCM and HCF and numbers is verified.
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