Least Common Multiple of 117/20, 424/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 117/20, 424/952 quickly i.e. 12402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/20, 424/952 is 12402.

LCM(117/20, 424/952) = 12402

LCM of 117/20, 424/952

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 117/20,424/952

Given numbers are 117/20,424/952

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 117,424

Least Common Multiple of Numerators i.e. LCM of 117,424 is 49608.

GCF of Denominators means GCF of 20,952 as per the given fractions.

GCF of 20,952 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,424

LCM of Fractions 117/20,424/952 is 12402

Given numbers has no common factors except 1. So, there LCM is their product i.e 49608

Least Common Multiple of 117,424 with GCF Formula

Least Common Multiple of 117,424 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 117,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,424) = 1

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

GCF(117,424) x common factors =1 x 1 = 1

LCM(117,424) = ( 117 × 424 ) / 1

LCM(117,424) = 49608 / 1

LCM(117,424) = 49608


Lets's calculate GCF of 20,952

2 20, 952
2 10, 476
5, 238

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49608/4

Therefore the LCM of Fractions 117/20,424/952 is 12402

Greatest Common Factor of 20,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,952 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 20,952 . The biggest common factor number is the GCF number.
So the greatest common factor 20,952 is 4.


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 117/20, 424/952

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 117/20, 424/952?

Answer: LCM of Numerators as per given numbers 117/20, 424/952 is

LCM of Numerators i.e. for 117,424 is 49608

GCF of denominators i.e. for 20,952 is 4.

Thus, LCM of Fractions is 12402.Finally, LCM of Fractions for 117/20, 424/952 is 12402.