Least Common Multiple of 939/544, 100/756, 931/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 939/544, 100/756, 931/532 quickly i.e. 21855225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 939/544, 100/756, 931/532 is 21855225.

LCM(939/544, 100/756, 931/532) = 21855225

LCM of 939/544, 100/756, 931/532

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 939/544,100/756,931/532

Given numbers are 939/544,100/756,931/532

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 939,100,931

Least Common Multiple of Numerators i.e. LCM of 939,100,931 is 87420900.

GCF of Denominators means GCF of 544,756,532 as per the given fractions.

GCF of 544,756,532 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 939,100,931

LCM of Fractions 939/544,100/756,931/532 is 21855225

Given numbers has no common factors except 1. So, there LCM is their product i.e 87420900

Least Common Multiple of 939,100,931 with GCF Formula

Least Common Multiple of 939,100,931 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 939,100,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,100,931) = 1

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

GCF(939,100,931) x common factors =1 x 1 = 1

LCM(939,100,931) = ( 939 × 100 × 931 ) / 1

LCM(939,100,931) = 87420900 / 1

LCM(939,100,931) = 87420900


Lets's calculate GCF of 544,756,532

2 544, 756, 532
2 272, 378, 266
136, 189, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87420900/4

Therefore the LCM of Fractions 939/544,100/756,931/532 is 21855225

Greatest Common Factor of 544,756,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,756,532 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 544,756,532 . The biggest common factor number is the GCF number.
So the greatest common factor 544,756,532 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 939/544, 100/756, 931/532

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 939/544, 100/756, 931/532?

Answer: LCM of Numerators as per given numbers 939/544, 100/756, 931/532 is

LCM of Numerators i.e. for 939,100,931 is 87420900

GCF of denominators i.e. for 544,756,532 is 4.

Thus, LCM of Fractions is 21855225.Finally, LCM of Fractions for 939/544, 100/756, 931/532 is 21855225.