Question

the product of two numder is 2352.the hcf of the two is 14,find its LCM​.​

Answer 1

$\bf{\underline{\underline \blue{Solution:-}}}$

$\pink{\bf{Given}\begin{cases}\sf{ \red{Product \:of \:two\: numbers = }2352 \: }\\\sf{ \green{HCF \:of\: two\: numbers = 14}\: }\\ </p><p>\sf{ \red{L.C.M\: of\:two \:numbers =}\: ?\: }\\</p><p>\end{cases}}$

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\sf\underline{\red{\:\:\: Formula\:Used\: Here:-\:\:\:}}$

$\bigstar{\underline{\boxed{\sf\purple{LCM \times HCF = Product \:of\: two \:no.}}}}$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {L.C.M \times 14 = 2352}$

$\dashrightarrow \sf {L.C.M = \cancel\dfrac{2352}{14}}$

$\dashrightarrow {\underline{\boxed{\sf{L.C.M = 168}}}}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• The LCM of two numbers is 168.

$\rule{200}{2}$