Least Common Multiple of 675/252, 1159/3944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/252, 1159/3944 quickly i.e. 782325/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/252, 1159/3944 is 782325/4.

LCM(675/252, 1159/3944) = 782325/4

LCM of 675/252, 1159/3944

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 675/252,1159/3944

Given numbers are 675/252,1159/3944

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 675,1159

Least Common Multiple of Numerators i.e. LCM of 675,1159 is 782325.

GCF of Denominators means GCF of 252,3944 as per the given fractions.

GCF of 252,3944 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,1159

LCM of Fractions 675/252,1159/3944 is 782325/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 782325

Least Common Multiple of 675,1159 with GCF Formula

Least Common Multiple of 675,1159 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 675,1159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,1159) = 1

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

GCF(675,1159) x common factors =1 x 1 = 1

LCM(675,1159) = ( 675 × 1159 ) / 1

LCM(675,1159) = 782325 / 1

LCM(675,1159) = 782325


Lets's calculate GCF of 252,3944

2 252, 3944
2 126, 1972
63, 986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 782325/4

Therefore the LCM of Fractions 675/252,1159/3944 is 782325/4

Greatest Common Factor of 252,3944 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,3944 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

Greatest Common Factor

We found the factors 252,3944 . The biggest common factor number is the GCF number.
So the greatest common factor 252,3944 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 675/252, 1159/3944

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 675/252, 1159/3944?

Answer: LCM of Numerators as per given numbers 675/252, 1159/3944 is

LCM of Numerators i.e. for 675,1159 is 782325

GCF of denominators i.e. for 252,3944 is 4.

Thus, LCM of Fractions is 782325/4.Finally, LCM of Fractions for 675/252, 1159/3944 is 782325/4.