Question

the lcm of two numbers is 2376 while the hcf is 33:if one of the numbers is 297 then the another number is??

Answer 1

Answer:

264.

Step-by-step explanation:

According to the question the LCM of the two numbers is 2376 and their HCF is 33.

We know the formula the product of the two numbers is always equal to the product of their HCF and LCM.

i.e. HCF * LCM = a * b

Therefore we get:

2376 * 33 = 297 * other number

or, other number = 78408 / 297 = 264.

∵ Therefore the another number is 264.

Answer 2

"For two number a and b, we know that

$(a \times b) = {LCM of (a \times b)} \times {HCF of (a \times b)}$

Here, a=297,LCM=2376 and HCF=33 and we have to find b.

∴$297 \times b = 2376 \times 33$

$\Rightarrow b\quad =\quad (\frac { 2376\times 33 }{ 297 } )\quad =\quad 8\times 33\quad =\quad 264$

Hence, another number is 264. "