Question

Product of two numbers is 2880 and their hcf is 24 find their lcm

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• The L.C.M of two numbers = 120

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• Product of two numbers is 2880 and their HCF is 24.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• The LCM of two numbers = ?

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

$\sf\underline{\red{\:\:\: Formula\:used\: here:-\:\:\:}}$

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

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

$\dashrightarrow \sf {2880 = 24 \times L.C.M}$

$\dashrightarrow \sf {L.C.M = \dfrac{\cancel{2880}}{\cancel{24}}\: }$

$\dashrightarrow \sf {L.C.M = 120}$

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

• The L.C.M of two numbers is 120.

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Some more Information:

H.C.F ➪ Highest Common Factor.

L.C.M ➪ Least Common Multiple.

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