Least Common Multiple of 492/44, 531/3516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/44, 531/3516 quickly i.e. 21771 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/44, 531/3516 is 21771.

LCM(492/44, 531/3516) = 21771

LCM of 492/44, 531/3516

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 492/44,531/3516

Given numbers are 492/44,531/3516

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 492,531

Least Common Multiple of Numerators i.e. LCM of 492,531 is 87084.

GCF of Denominators means GCF of 44,3516 as per the given fractions.

GCF of 44,3516 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,531

LCM of Fractions 492/44,531/3516 is 21771

3 492, 531
164, 177

∴ So the LCM of the given numbers is 3 x 164 x 177 = 87084

Least Common Multiple of 492,531 with GCF Formula

Least Common Multiple of 492,531 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 492,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,531) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(492,531) x common factors =3 x 1 = 3

LCM(492,531) = ( 492 × 531 ) / 3

LCM(492,531) = 261252 / 3

LCM(492,531) = 87084


Lets's calculate GCF of 44,3516

2 44, 3516
2 22, 1758
11, 879

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87084/4

Therefore the LCM of Fractions 492/44,531/3516 is 21771

Greatest Common Factor of 44,3516 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,3516 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1,2,3,4,6,12,293,586,879,1172,1758,3516

Greatest Common Factor

We found the factors 44,3516 . The biggest common factor number is the GCF number.
So the greatest common factor 44,3516 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 492/44, 531/3516

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 492/44, 531/3516?

Answer: LCM of Numerators as per given numbers 492/44, 531/3516 is

LCM of Numerators i.e. for 492,531 is 87084

GCF of denominators i.e. for 44,3516 is 4.

Thus, LCM of Fractions is 21771.Finally, LCM of Fractions for 492/44, 531/3516 is 21771.