Least Common Multiple of 79/905, 527/74, 142/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/905, 527/74, 142/747 quickly i.e. 5911886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/905, 527/74, 142/747 is 5911886.

LCM(79/905, 527/74, 142/747) = 5911886

LCM of 79/905, 527/74, 142/747

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 79/905,527/74,142/747

Given numbers are 79/905,527/74,142/747

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 79,527,142

Least Common Multiple of Numerators i.e. LCM of 79,527,142 is 5911886.

GCF of Denominators means GCF of 905,74,747 as per the given fractions.

GCF of 905,74,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,527,142

LCM of Fractions 79/905,527/74,142/747 is 5911886

Given numbers has no common factors except 1. So, there LCM is their product i.e 5911886

Least Common Multiple of 79,527,142 with GCF Formula

Least Common Multiple of 79,527,142 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 79,527,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,527,142) = 1

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

GCF(79,527,142) x common factors =1 x 1 = 1

LCM(79,527,142) = ( 79 × 527 × 142 ) / 1

LCM(79,527,142) = 5911886 / 1

LCM(79,527,142) = 5911886


Lets's calculate GCF of 905,74,747

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5911886/1

Therefore the LCM of Fractions 79/905,527/74,142/747 is 5911886

Greatest Common Factor of 905,74,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,74,747 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 905,74,747 . The biggest common factor number is the GCF number.
So the greatest common factor 905,74,747 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/905, 527/74, 142/747

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 79/905, 527/74, 142/747?

Answer: LCM of Numerators as per given numbers 79/905, 527/74, 142/747 is

LCM of Numerators i.e. for 79,527,142 is 5911886

GCF of denominators i.e. for 905,74,747 is 1.

Thus, LCM of Fractions is 5911886.Finally, LCM of Fractions for 79/905, 527/74, 142/747 is 5911886.