Least Common Multiple of 5044/378, 2964/4829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5044/378, 2964/4829 quickly i.e. 287508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5044/378, 2964/4829 is 287508.

LCM(5044/378, 2964/4829) = 287508

LCM of 5044/378, 2964/4829

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 5044/378,2964/4829

Given numbers are 5044/378,2964/4829

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 5044,2964

Least Common Multiple of Numerators i.e. LCM of 5044,2964 is 287508.

GCF of Denominators means GCF of 378,4829 as per the given fractions.

GCF of 378,4829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5044,2964

LCM of Fractions 5044/378,2964/4829 is 287508

2 5044, 2964
2 2522, 1482
13 1261, 741
97, 57

∴ So the LCM of the given numbers is 2 x 2 x 13 x 97 x 57 = 287508

Least Common Multiple of 5044,2964 with GCF Formula

Least Common Multiple of 5044,2964 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 5044,2964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5044,2964) = 52

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

GCF(5044,2964) x common factors =52 x 1 = 52

LCM(5044,2964) = ( 5044 × 2964 ) / 52

LCM(5044,2964) = 14950416 / 52

LCM(5044,2964) = 287508


Lets's calculate GCF of 378,4829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287508/1

Therefore the LCM of Fractions 5044/378,2964/4829 is 287508

Greatest Common Factor of 378,4829 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,4829 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 4829

List of positive integer factors of 4829 that divides 4829 without a remainder.

1,11,439,4829

Greatest Common Factor

We found the factors 378,4829 . The biggest common factor number is the GCF number.
So the greatest common factor 378,4829 is 1.


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 5044/378, 2964/4829

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 5044/378, 2964/4829?

Answer: LCM of Numerators as per given numbers 5044/378, 2964/4829 is

LCM of Numerators i.e. for 5044,2964 is 287508

GCF of denominators i.e. for 378,4829 is 1.

Thus, LCM of Fractions is 287508.Finally, LCM of Fractions for 5044/378, 2964/4829 is 287508.