Least Common Multiple of 259/60, 953/26, 220/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 259/60, 953/26, 220/844 quickly i.e. 27150970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 259/60, 953/26, 220/844 is 27150970.

LCM(259/60, 953/26, 220/844) = 27150970

LCM of 259/60, 953/26, 220/844

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 259/60,953/26,220/844

Given numbers are 259/60,953/26,220/844

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 259,953,220

Least Common Multiple of Numerators i.e. LCM of 259,953,220 is 54301940.

GCF of Denominators means GCF of 60,26,844 as per the given fractions.

GCF of 60,26,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 259,953,220

LCM of Fractions 259/60,953/26,220/844 is 27150970

Given numbers has no common factors except 1. So, there LCM is their product i.e 54301940

Least Common Multiple of 259,953,220 with GCF Formula

Least Common Multiple of 259,953,220 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 259,953,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,953,220) = 1

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

GCF(259,953,220) x common factors =1 x 1 = 1

LCM(259,953,220) = ( 259 × 953 × 220 ) / 1

LCM(259,953,220) = 54301940 / 1

LCM(259,953,220) = 54301940


Lets's calculate GCF of 60,26,844

2 60, 26, 844
30, 13, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54301940/2

Therefore the LCM of Fractions 259/60,953/26,220/844 is 27150970

Greatest Common Factor of 60,26,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,26,844 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 60,26,844 . The biggest common factor number is the GCF number.
So the greatest common factor 60,26,844 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 259/60, 953/26, 220/844

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 259/60, 953/26, 220/844?

Answer: LCM of Numerators as per given numbers 259/60, 953/26, 220/844 is

LCM of Numerators i.e. for 259,953,220 is 54301940

GCF of denominators i.e. for 60,26,844 is 2.

Thus, LCM of Fractions is 27150970.Finally, LCM of Fractions for 259/60, 953/26, 220/844 is 27150970.