Question

4. The HCF of the two numbers is 25. If the two numbers are 125 and 75, find their LCM.​

Answer 1

Given :-

HCF = 25

Two numbers are = 125 and 75

As we know,

LCM * HCF = PRODUCT OF NUMBERS

LCM * 25 = 125 * 75

LCM = 125 * 75 / 25

LCM = 5 * 75

LCM = 375

Therefore LCM is 375.

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Answer 2

Answer:

L.C.M. = 375

Step-by-step explanation:

Given :

H.C.F. of two numbers = 25

Two numbers = 125 and 75

To find :

Their L.C.M.

Taken :

To find the L.C.M. use this formula -:

$\boxed{\sf{L.C.M. = \dfrac{Product\:of\:two\:numbers}{H.C.F}}}$

Here ,

L.C.M. = Longest common multiple

H.C.F. = Highest common factor

Solution :

$:\implies\sf{L.C.M.=\dfrac{\cancel{125}\times75}{\cancel{25}}}$

$:\implies\sf{L.C.M.=5\times75}$

$:\implies\sf{L.C.M.=375}$

So , the L.C.M. is 375 .