Question

If HCF (26,169)=13 then LCM (26,169) is

Answer 1

Answer:

LCM=338

Step-by-step explanation:

refer the photo.

Answer 2

Answer:

The L.C.M. of (26,169) is 338.

Step-by-step explanation:

It exists provided that the highest common factor (H.C.F) of the number 26, 169 as $13$

Now, we will discover the least common multiple of the number 26,169.

We learn that the product of the least common multiple and the highest common factor of the natural numerals is always equivalent to the product of the natural numbers. Mathematically,

L.C.M. of the given numerals $\times$H.C.F. of the given numbers $=$Product of the assigned numbers

Let the L.C.M of $(26,169)$be$x$.

By substituting H.C.F. of the number as 13 in the above equation,

we obtain

$\Rightarrow x \times 13=(26) \times(169)$

Dividing both sides by 13, we obtain

$\Rightarrow x=\frac{(26) \times(169)}{13}$

Dividing 26 by 13, we acquire

$\Rightarrow x=(2) \times(169)$

Multiplying the terms, we obtain

$\Rightarrow x=338$

L.C.M. of the provided numbers $(26,169)=338$

hence, the L.C.M. of (26,169) is 338.

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