Using the Formula LCM- HCF- Product of two numbers- Find the LCM of numbers 408 and 170

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Shahajiraje and Jijabai

Using the For...

Question

Using the Formula $L C M \times H C F = P r o d u c t o f t w o n u m b e r s$ , Find the LCM of numbers $408 a n d 170$

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Solution

Definition:
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 $408 a n d 170$
Factorization of $408 a n d 170$
$408 = 2 \times 2 \times 2 \times 3 \times 17$
$170 = 2 \times 5 \times 17$
Finding HCF of 408 and 170
HCF of $408 a n d 170 i s 2 \times 17 = 34$
The Formula of finding LCM:
LCM= $\frac{P r o d u c t o f t w o n u m b e r s}{H C F}$
Calculation:
LCM= $\frac{(408 \times 170)}{34} = \frac{69360}{34} = 2040$
Conclusion:
Hence, the LCM of 408 and 170 is 2040.

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