Least Common Multiple of 20/38, 50/91, 964/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/38, 50/91, 964/922 quickly i.e. 24100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/38, 50/91, 964/922 is 24100.

LCM(20/38, 50/91, 964/922) = 24100

LCM of 20/38, 50/91, 964/922

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 20/38,50/91,964/922

Given numbers are 20/38,50/91,964/922

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 20,50,964

Least Common Multiple of Numerators i.e. LCM of 20,50,964 is 24100.

GCF of Denominators means GCF of 38,91,922 as per the given fractions.

GCF of 38,91,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,50,964

LCM of Fractions 20/38,50/91,964/922 is 24100

2 20, 50, 964
2 10, 25, 482
5 5, 25, 241
1, 5, 241

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 5 x 241 = 24100

Least Common Multiple of 20,50,964 with GCF Formula

Least Common Multiple of 20,50,964 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 20,50,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,50,964) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(20,50,964) x common factors =2 x 20 = 40

LCM(20,50,964) = ( 20 × 50 × 964 ) / 40

LCM(20,50,964) = 964000 / 40

LCM(20,50,964) = 24100


Lets's calculate GCF of 38,91,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24100/1

Therefore the LCM of Fractions 20/38,50/91,964/922 is 24100

Greatest Common Factor of 38,91,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,91,922 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 38,91,922 . The biggest common factor number is the GCF number.
So the greatest common factor 38,91,922 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/38, 50/91, 964/922

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 20/38, 50/91, 964/922?

Answer: LCM of Numerators as per given numbers 20/38, 50/91, 964/922 is

LCM of Numerators i.e. for 20,50,964 is 24100

GCF of denominators i.e. for 38,91,922 is 1.

Thus, LCM of Fractions is 24100.Finally, LCM of Fractions for 20/38, 50/91, 964/922 is 24100.