Question

the LCM of two coprime number is 4940 if one of the number is 65 find the other number clue4 4940 × to and the number ​

Answer 1

Given LCM of two coprime number is 4940.

One of the number is 65.

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We have to find, the other number.

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☯ Let the other number be x.

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We know that,

The HCF of co - primes is 1.

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The relationship b/w LCM and HCF is,

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$\star\;{\boxed{\sf{\purple{HCF \times LCM = Product\;of\;two\;numbers}}}}$

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${\underline{\frak{Here}}} \begin{cases} & \text{LCM = 4940} \\ & \text{HCF = 1 } \\ & \text{one\;number = 65} \end{cases}$

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★ Now, Putting values

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$:\implies\sf 1 \times 4940 = 65 \times x$

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$:\implies\sf 4940 = 65x$

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$:\implies\sf x = \cancel{ \dfrac{4940}{65}}$

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$:\implies{\underline{\boxed{\sf{\purple{76}}}}}\;\bigstar$

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$\therefore$ The other number is 76.

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$\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}$

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• HCF (Highest common factor) = Highest factor present between two numbers.

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• LCM (least common multiple) = Least number which is exactly divisible by two or more numbers.