Least Common Multiple of 31/976, 76/967, 739/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/976, 76/967, 739/912 quickly i.e. 1741084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/976, 76/967, 739/912 is 1741084.

LCM(31/976, 76/967, 739/912) = 1741084

LCM of 31/976, 76/967, 739/912

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 31/976,76/967,739/912

Given numbers are 31/976,76/967,739/912

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 31,76,739

Least Common Multiple of Numerators i.e. LCM of 31,76,739 is 1741084.

GCF of Denominators means GCF of 976,967,912 as per the given fractions.

GCF of 976,967,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,76,739

LCM of Fractions 31/976,76/967,739/912 is 1741084

Given numbers has no common factors except 1. So, there LCM is their product i.e 1741084

Least Common Multiple of 31,76,739 with GCF Formula

Least Common Multiple of 31,76,739 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 31,76,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,76,739) = 1

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

GCF(31,76,739) x common factors =1 x 1 = 1

LCM(31,76,739) = ( 31 × 76 × 739 ) / 1

LCM(31,76,739) = 1741084 / 1

LCM(31,76,739) = 1741084


Lets's calculate GCF of 976,967,912

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1741084/1

Therefore the LCM of Fractions 31/976,76/967,739/912 is 1741084

Greatest Common Factor of 976,967,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,967,912 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 976,967,912 . The biggest common factor number is the GCF number.
So the greatest common factor 976,967,912 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 31/976, 76/967, 739/912

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 31/976, 76/967, 739/912?

Answer: LCM of Numerators as per given numbers 31/976, 76/967, 739/912 is

LCM of Numerators i.e. for 31,76,739 is 1741084

GCF of denominators i.e. for 976,967,912 is 1.

Thus, LCM of Fractions is 1741084.Finally, LCM of Fractions for 31/976, 76/967, 739/912 is 1741084.