If the HCF of 306 and 657 is 9- then the LCM of 306 and 657 will be nbsp-2233822348657

The correct option is A 22338We know that HCF (a,b)×LCM (a, b) = a× b. i.e., 9 × nbsp;LCM = 306 × nbsp;657 ⇒ LCM = 306 × 657 nbsp;/9 = 201042/9 = 22338 ∴ ...

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Byju's Answer

Standard X

Mathematics

The Fundamental Theorem of Arithmetic

If the HCF of...

Question

If the HCF of 306 and 657 is 9, then the LCM of 306 and 657 will be .

22338

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22348

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657

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Solution

The correct option is A 22338
We know that

$HCF (a,b) \times LCM (a, b) = a \times b .$

i.e., $9 \times L C M = 306 \times 657$

$\Rightarrow L C M = \frac{306 \times 657}{9}$
$= \frac{201042}{9}$
$= 22338$
$∴$ LCM of 306 and 657 is 22338.

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Similar questions

Q. Given that HCF

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Given that the LCM of 306 and 657 is 22338, what is the LCM of 102, 306 and 657

Q. Question 4
Given that HCF (306, 657) = 9, find LCM (306, 657).

Q. Find the LCM and HCF of the following integers by the prime factorization method:

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If the HCF of 306 and 657 is 9, then the LCM of 306 and 657 will be .

The correct option is A 22338We know that HCF (a,b)×LCM (a, b) =a×b. i.e., 9×LCM=306×657 ⇒LCM=306 × 6579 =2010429 =22338 ∴ LCM of 306 and 657 is 22338.

The correct option is A 22338
We know that

$HCF (a,b) \times LCM (a, b) = a \times b .$

i.e., $9 \times L C M = 306 \times 657$

$\Rightarrow L C M = \frac{306 \times 657}{9}$
$= \frac{201042}{9}$
$= 22338$
$∴$ LCM of 306 and 657 is 22338.