Least Common Multiple of 31/69, 87/74, 713/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/69, 87/74, 713/905 quickly i.e. 62031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/69, 87/74, 713/905 is 62031.

LCM(31/69, 87/74, 713/905) = 62031

LCM of 31/69, 87/74, 713/905

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 31/69,87/74,713/905

Given numbers are 31/69,87/74,713/905

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 31,87,713

Least Common Multiple of Numerators i.e. LCM of 31,87,713 is 62031.

GCF of Denominators means GCF of 69,74,905 as per the given fractions.

GCF of 69,74,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,87,713

LCM of Fractions 31/69,87/74,713/905 is 62031

31 31, 87, 713
1, 87, 23

∴ So the LCM of the given numbers is 31 x 1 x 87 x 23 = 62031

Least Common Multiple of 31,87,713 with GCF Formula

Least Common Multiple of 31,87,713 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 31,87,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,87,713) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,87,713) x common factors =1 x 31 = 31

LCM(31,87,713) = ( 31 × 87 × 713 ) / 31

LCM(31,87,713) = 1922961 / 31

LCM(31,87,713) = 62031


Lets's calculate GCF of 69,74,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62031/1

Therefore the LCM of Fractions 31/69,87/74,713/905 is 62031

Greatest Common Factor of 69,74,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,74,905 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 74

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

1,2,37,74

Factors of 905

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

1,5,181,905

Greatest Common Factor

We found the factors 69,74,905 . The biggest common factor number is the GCF number.
So the greatest common factor 69,74,905 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 31/69, 87/74, 713/905

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 31/69, 87/74, 713/905?

Answer: LCM of Numerators as per given numbers 31/69, 87/74, 713/905 is

LCM of Numerators i.e. for 31,87,713 is 62031

GCF of denominators i.e. for 69,74,905 is 1.

Thus, LCM of Fractions is 62031.Finally, LCM of Fractions for 31/69, 87/74, 713/905 is 62031.