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Question

Find LCM and HCF of 510 and 92?

Verify LCM and HCF is equal to the product of two numbers.


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Solution

Step 1: Find the LCM and HCF of 510 and 92

510=2×5×3×1792=2×2×23

HCF(510,92)=2

L.C.M.(510,92)=2×2×3×5×17×23

L.C.M.(510,92)=23460

Step 2: Verify that the product of two numbers is equal to the product of LCM and HCF.

Find the product of L.C.M and H.C.F.

LCM×HCF=23460×2=46920

Find the product of the given numbers.

510×92=46920

Since, L.C.M×H.C.F=510×92

Hence, it is verified that the product of LCM and HCF is equal to the product of two numbers.

The LCM of 510 and 92is 23,460

The HCF of 510 and 92 is 2

And the product of two numbers is equal to the product of their LCM and HCF.


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