Least Common Multiple of 977/861, 755/518, 711/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/861, 755/518, 711/334 quickly i.e. 524458485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/861, 755/518, 711/334 is 524458485.

LCM(977/861, 755/518, 711/334) = 524458485

LCM of 977/861, 755/518, 711/334

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 977/861,755/518,711/334

Given numbers are 977/861,755/518,711/334

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 977,755,711

Least Common Multiple of Numerators i.e. LCM of 977,755,711 is 524458485.

GCF of Denominators means GCF of 861,518,334 as per the given fractions.

GCF of 861,518,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,755,711

LCM of Fractions 977/861,755/518,711/334 is 524458485

Given numbers has no common factors except 1. So, there LCM is their product i.e 524458485

Least Common Multiple of 977,755,711 with GCF Formula

Least Common Multiple of 977,755,711 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 977,755,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,755,711) = 1

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

GCF(977,755,711) x common factors =1 x 1 = 1

LCM(977,755,711) = ( 977 × 755 × 711 ) / 1

LCM(977,755,711) = 524458485 / 1

LCM(977,755,711) = 524458485


Lets's calculate GCF of 861,518,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524458485/1

Therefore the LCM of Fractions 977/861,755/518,711/334 is 524458485

Greatest Common Factor of 861,518,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,518,334 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 861,518,334 . The biggest common factor number is the GCF number.
So the greatest common factor 861,518,334 is 1.


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 977/861, 755/518, 711/334

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 977/861, 755/518, 711/334?

Answer: LCM of Numerators as per given numbers 977/861, 755/518, 711/334 is

LCM of Numerators i.e. for 977,755,711 is 524458485

GCF of denominators i.e. for 861,518,334 is 1.

Thus, LCM of Fractions is 524458485.Finally, LCM of Fractions for 977/861, 755/518, 711/334 is 524458485.