Question

the product of two number is 2160 and their HCF is 12. Find their LCM.​

Answer 1

Given: Product of two numbers is 2160 and their HCF is 12.

Need to find: LCM of the two numbers.

❍ Let the two numbers be A and B respectively.

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$\underline{\bf{\dag}\frak{\;As\;we\;know\;that\;:}}$

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• The product of two numbers is equal to the product of their HCF and LCM.

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Therefore,

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$:\implies\sf{A\times B=HCF\times LCM}\\\\\\:\implies\sf{2160=12\times LCM}\\\\\\:\implies\sf{LCM=\cancel{\dfrac{2160}{12}}}\\\\\\:\implies\underline{\boxed{\pink{\frak{LCM=180}}}}{\;\bigstar}$

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$\therefore\;{\underline{\sf{Hence,\;the\;LCM\;of\;the\;two\;numbers\;is\;{\textsf{\textbf{180}}}}.}}$

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Answer 2

Answer:

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