Least Common Multiple of 979/720, 941/528, 761/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 979/720, 941/528, 761/972 quickly i.e. 701062879/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 979/720, 941/528, 761/972 is 701062879/12.

LCM(979/720, 941/528, 761/972) = 701062879/12

LCM of 979/720, 941/528, 761/972

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 979/720,941/528,761/972

Given numbers are 979/720,941/528,761/972

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 979,941,761

Least Common Multiple of Numerators i.e. LCM of 979,941,761 is 701062879.

GCF of Denominators means GCF of 720,528,972 as per the given fractions.

GCF of 720,528,972 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 979,941,761

LCM of Fractions 979/720,941/528,761/972 is 701062879/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 701062879

Least Common Multiple of 979,941,761 with GCF Formula

Least Common Multiple of 979,941,761 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 979,941,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,941,761) = 1

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

GCF(979,941,761) x common factors =1 x 1 = 1

LCM(979,941,761) = ( 979 × 941 × 761 ) / 1

LCM(979,941,761) = 701062879 / 1

LCM(979,941,761) = 701062879


Lets's calculate GCF of 720,528,972

2 720, 528, 972
2 360, 264, 486
3 180, 132, 243
60, 44, 81

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 701062879/12

Therefore the LCM of Fractions 979/720,941/528,761/972 is 701062879/12

Greatest Common Factor of 720,528,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,528,972 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 720,528,972 . The biggest common factor number is the GCF number.
So the greatest common factor 720,528,972 is 12.


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 979/720, 941/528, 761/972

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 979/720, 941/528, 761/972?

Answer: LCM of Numerators as per given numbers 979/720, 941/528, 761/972 is

LCM of Numerators i.e. for 979,941,761 is 701062879

GCF of denominators i.e. for 720,528,972 is 12.

Thus, LCM of Fractions is 701062879/12.Finally, LCM of Fractions for 979/720, 941/528, 761/972 is 701062879/12.