Question

Hcf of 186 and 496 is 62. What is there lcm

Answer 1

LCM×HCF= Product of the numbers

LCM×62=186×496
LCM×62=92,256
LCM=92,256/62
LCM=1488

Answer 2

Answer:

Step-by-step explanation:

The LCM of  $186$ and $496$ is $1488$.

LCM and HCF:

• The smallest number that divides each of the supplied integers perfectly is known as the least common multiple of those numbers.
• The highest common factor (HCF) for each pair of numbers is the number that divides them by the greatest amount.
• The following formula incorporates both HCF and LCM.
• Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers)

Given:

• The two numbers are $186$ and $496$ .

• HCF is $62$.

To Find:

We need to find the LCM.

Solution:

Product of two numbers $= 186 *496 = 92,256$

HCF $= 62$

Applying the values to the equation to determine the value of LCM,

Product of Two numbers $=$ (HCF of the two numbers) $*$ (LCM of the two numbers)

⇒  $92,256 = 62* LCM$

⇒  $\frac{92,256 }{62} = LCM$

⇒  $1488 = LCM$

Therefore, the LCM of  $186$ and $496$ is $1488$.

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