Least Common Multiple of 75/156, 2044/1479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/156, 2044/1479 quickly i.e. 51100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/156, 2044/1479 is 51100.

LCM(75/156, 2044/1479) = 51100

LCM of 75/156, 2044/1479

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 75/156,2044/1479

Given numbers are 75/156,2044/1479

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 75,2044

Least Common Multiple of Numerators i.e. LCM of 75,2044 is 153300.

GCF of Denominators means GCF of 156,1479 as per the given fractions.

GCF of 156,1479 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,2044

LCM of Fractions 75/156,2044/1479 is 51100

Given numbers has no common factors except 1. So, there LCM is their product i.e 153300

Least Common Multiple of 75,2044 with GCF Formula

Least Common Multiple of 75,2044 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 75,2044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,2044) = 1

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

GCF(75,2044) x common factors =1 x 1 = 1

LCM(75,2044) = ( 75 × 2044 ) / 1

LCM(75,2044) = 153300 / 1

LCM(75,2044) = 153300


Lets's calculate GCF of 156,1479

3 156, 1479
52, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153300/3

Therefore the LCM of Fractions 75/156,2044/1479 is 51100

Greatest Common Factor of 156,1479 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,1479 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1,3,17,29,51,87,493,1479

Greatest Common Factor

We found the factors 156,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 156,1479 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 75/156, 2044/1479

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 75/156, 2044/1479?

Answer: LCM of Numerators as per given numbers 75/156, 2044/1479 is

LCM of Numerators i.e. for 75,2044 is 153300

GCF of denominators i.e. for 156,1479 is 3.

Thus, LCM of Fractions is 51100.Finally, LCM of Fractions for 75/156, 2044/1479 is 51100.