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Question

Using the Formula LCM×HCF=Productoftwonumbers, Find the LCM of numbers 408and170


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Solution

Definition:

  1. LCM means the smallest common multiple of two or more numbers

2. HCF means the highest common factors of two or more numbers.

Given data

Given numbers are 408and170

Factorization of 408and170

408=2×2×2×3×17

170=2×5×17

Finding HCF of 408 and 170

HCF of 408and170is2×17=34

The Formula of finding LCM:

LCM= ProductoftwonumbersHCF

Calculation:

LCM=(408×170)34=6936034=2040

Conclusion:

Hence, the LCM of 408 and 170 is 2040.


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