Least Common Multiple of 20/55, 274/88, 644/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/55, 274/88, 644/825 quickly i.e. 441140/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/55, 274/88, 644/825 is 441140/11.

LCM(20/55, 274/88, 644/825) = 441140/11

LCM of 20/55, 274/88, 644/825

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 20/55,274/88,644/825

Given numbers are 20/55,274/88,644/825

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 20,274,644

Least Common Multiple of Numerators i.e. LCM of 20,274,644 is 441140.

GCF of Denominators means GCF of 55,88,825 as per the given fractions.

GCF of 55,88,825 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,274,644

LCM of Fractions 20/55,274/88,644/825 is 441140/11

2 20, 274, 644
2 10, 137, 322
5, 137, 161

∴ So the LCM of the given numbers is 2 x 2 x 5 x 137 x 161 = 441140

Least Common Multiple of 20,274,644 with GCF Formula

Least Common Multiple of 20,274,644 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 20,274,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,274,644) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(20,274,644) x common factors =2 x 4 = 8

LCM(20,274,644) = ( 20 × 274 × 644 ) / 8

LCM(20,274,644) = 3529120 / 8

LCM(20,274,644) = 441140


Lets's calculate GCF of 55,88,825

11 55, 88, 825
5, 8, 75

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441140/11

Therefore the LCM of Fractions 20/55,274/88,644/825 is 441140/11

Greatest Common Factor of 55,88,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,88,825 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 55,88,825 . The biggest common factor number is the GCF number.
So the greatest common factor 55,88,825 is 11.


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 20/55, 274/88, 644/825

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 20/55, 274/88, 644/825?

Answer: LCM of Numerators as per given numbers 20/55, 274/88, 644/825 is

LCM of Numerators i.e. for 20,274,644 is 441140

GCF of denominators i.e. for 55,88,825 is 11.

Thus, LCM of Fractions is 441140/11.Finally, LCM of Fractions for 20/55, 274/88, 644/825 is 441140/11.