Question

The product of two number is 120 if their H.C.F is 6 what is their L.C.M

Answer 1

Given:

Product of two number = 120

H.C.F of two number = 6

To find:

L.C.M of two number = ?

Formula to be used:

L.C.M of two numbers × H.C.F of two numbers = Product of the two numbers

Calculation:

L.C.M of two numbers × H.C.F of two numbers = Product of the two number

L.C.M of two numbers = $\frac{Product of the number}{H.C.F of number}$

L.C.M of two numbers = $\frac{120}{6}=20$

L.C.M of two numbers = 20

Conclusion:

The L.C.M of two numbers with product 120 and H.C.F is 20.

Learn more about L.C.M calculation

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Answer 2

$\huge {\red {\mathfrak {Question:-}}}$

• The product of two numbers is 120. If their H.C.F is 6, what is their L.C.M?

$\huge {\pink {\mathfrak {Solution :-}}}$

$\underline{\bold {Given:}}$

• Product of two numbers = 120.
• H.C.F = 6.

$\underline{\bold {To\:Find:}}$

• L.C.M .

$\rule {207}{1}$

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

$\longrightarrow L.C.M = \dfrac{Product \: of \: two \: numbers }{H.C.F} \\ \\ \longrightarrow L.C.M = \dfrac{120}{6} \\ \\ \longrightarrow L.C.M= 20$

$\green {\bf {\therefore {L.C.M=20}}}$

$\rule{207}{1}$

Some important formulae :

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

$\boxed {\tt{One\:number =\dfrac { L.C.M\times H.C.F}{Other\:number}}}$

$\boxed {\tt{Other\:number =\dfrac { L.C.M\times H.C.F}{One\:number}}}$

For Verification :

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

$\rule {207}{2}$