Least Common Multiple of 5635/15, 8379/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5635/15, 8379/948 quickly i.e. 321195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5635/15, 8379/948 is 321195.

LCM(5635/15, 8379/948) = 321195

LCM of 5635/15, 8379/948

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 5635/15,8379/948

Given numbers are 5635/15,8379/948

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 5635,8379

Least Common Multiple of Numerators i.e. LCM of 5635,8379 is 963585.

GCF of Denominators means GCF of 15,948 as per the given fractions.

GCF of 15,948 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5635,8379

LCM of Fractions 5635/15,8379/948 is 321195

7 5635, 8379
7 805, 1197
115, 171

∴ So the LCM of the given numbers is 7 x 7 x 115 x 171 = 963585

Least Common Multiple of 5635,8379 with GCF Formula

Least Common Multiple of 5635,8379 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 5635,8379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5635,8379) = 49

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

GCF(5635,8379) x common factors =49 x 1 = 49

LCM(5635,8379) = ( 5635 × 8379 ) / 49

LCM(5635,8379) = 47215665 / 49

LCM(5635,8379) = 963585


Lets's calculate GCF of 15,948

3 15, 948
5, 316

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 963585/3

Therefore the LCM of Fractions 5635/15,8379/948 is 321195

Greatest Common Factor of 15,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,948 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 15,948 . The biggest common factor number is the GCF number.
So the greatest common factor 15,948 is 3.


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 5635/15, 8379/948

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 5635/15, 8379/948?

Answer: LCM of Numerators as per given numbers 5635/15, 8379/948 is

LCM of Numerators i.e. for 5635,8379 is 963585

GCF of denominators i.e. for 15,948 is 3.

Thus, LCM of Fractions is 321195.Finally, LCM of Fractions for 5635/15, 8379/948 is 321195.