Least Common Multiple of 31/826, 65/538, 706/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/826, 65/538, 706/970 quickly i.e. 711295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/826, 65/538, 706/970 is 711295.

LCM(31/826, 65/538, 706/970) = 711295

LCM of 31/826, 65/538, 706/970

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 31/826,65/538,706/970

Given numbers are 31/826,65/538,706/970

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 31,65,706

Least Common Multiple of Numerators i.e. LCM of 31,65,706 is 1422590.

GCF of Denominators means GCF of 826,538,970 as per the given fractions.

GCF of 826,538,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,65,706

LCM of Fractions 31/826,65/538,706/970 is 711295

Given numbers has no common factors except 1. So, there LCM is their product i.e 1422590

Least Common Multiple of 31,65,706 with GCF Formula

Least Common Multiple of 31,65,706 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 31,65,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,65,706) = 1

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

GCF(31,65,706) x common factors =1 x 1 = 1

LCM(31,65,706) = ( 31 × 65 × 706 ) / 1

LCM(31,65,706) = 1422590 / 1

LCM(31,65,706) = 1422590


Lets's calculate GCF of 826,538,970

2 826, 538, 970
413, 269, 485

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1422590/2

Therefore the LCM of Fractions 31/826,65/538,706/970 is 711295

Greatest Common Factor of 826,538,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,538,970 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 826,538,970 . The biggest common factor number is the GCF number.
So the greatest common factor 826,538,970 is 2.


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 31/826, 65/538, 706/970

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 31/826, 65/538, 706/970?

Answer: LCM of Numerators as per given numbers 31/826, 65/538, 706/970 is

LCM of Numerators i.e. for 31,65,706 is 1422590

GCF of denominators i.e. for 826,538,970 is 2.

Thus, LCM of Fractions is 711295.Finally, LCM of Fractions for 31/826, 65/538, 706/970 is 711295.