Least Common Multiple of 26/39, 869/52, 970/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/39, 869/52, 970/767 quickly i.e. 842930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/39, 869/52, 970/767 is 842930.

LCM(26/39, 869/52, 970/767) = 842930

LCM of 26/39, 869/52, 970/767

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 26/39,869/52,970/767

Given numbers are 26/39,869/52,970/767

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 26,869,970

Least Common Multiple of Numerators i.e. LCM of 26,869,970 is 10958090.

GCF of Denominators means GCF of 39,52,767 as per the given fractions.

GCF of 39,52,767 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,869,970

LCM of Fractions 26/39,869/52,970/767 is 842930

2 26, 869, 970
13, 869, 485

∴ So the LCM of the given numbers is 2 x 13 x 869 x 485 = 10958090

Least Common Multiple of 26,869,970 with GCF Formula

Least Common Multiple of 26,869,970 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 26,869,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,869,970) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,869,970) x common factors =1 x 2 = 2

LCM(26,869,970) = ( 26 × 869 × 970 ) / 2

LCM(26,869,970) = 21916180 / 2

LCM(26,869,970) = 10958090


Lets's calculate GCF of 39,52,767

13 39, 52, 767
3, 4, 59

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10958090/13

Therefore the LCM of Fractions 26/39,869/52,970/767 is 842930

Greatest Common Factor of 39,52,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,52,767 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 39,52,767 . The biggest common factor number is the GCF number.
So the greatest common factor 39,52,767 is 13.


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 26/39, 869/52, 970/767

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 26/39, 869/52, 970/767?

Answer: LCM of Numerators as per given numbers 26/39, 869/52, 970/767 is

LCM of Numerators i.e. for 26,869,970 is 10958090

GCF of denominators i.e. for 39,52,767 is 13.

Thus, LCM of Fractions is 842930.Finally, LCM of Fractions for 26/39, 869/52, 970/767 is 842930.