Question

if the H.C.F. of two numbers is 24 and their product is 5760, find their lcm.e

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Answer 1

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Answer 2

Answer:

Concept:

Least Common Multiple (LCM) two numbers is the smallest number that can be divided evenly by those original two numbers.

highest common factor (HCF) or greatest common factor is the largest integer that two or more numbers can both be divided by.

Highest meaning largest number or greatest

Common meaning shared between two or more numbers

Factor meaning an integer that a whole number can be divided by.

Find:

We find the LCM

Given:

if the H.C.F. of two numbers is 24 and their product is 5760, find their lcm

Step by Step:

Least Common Multiple (LCM) two numbers is the smallest number that can be divided evenly by those original two numbers.

highest common factor (HCF) or greatest common factor is the largest integer that two or more numbers can both be divided by.

Highest meaning largest number or greatest

Common meaning shared between two or more numbers

Factor meaning an integer that a whole number can be divided by.

Let LCM is x

We know,

$lcm \times hcf = product \: of \: two \: number$

$x \times 24 = 5760$

$x = \frac{5760}{24}$

$x = 240$

Hence the LCM is 240.

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