Least Common Multiple of 2132/644, 3969/5204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2132/644, 3969/5204 quickly i.e. 2115477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2132/644, 3969/5204 is 2115477.

LCM(2132/644, 3969/5204) = 2115477

LCM of 2132/644, 3969/5204

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 2132/644,3969/5204

Given numbers are 2132/644,3969/5204

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 2132,3969

Least Common Multiple of Numerators i.e. LCM of 2132,3969 is 8461908.

GCF of Denominators means GCF of 644,5204 as per the given fractions.

GCF of 644,5204 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2132,3969

LCM of Fractions 2132/644,3969/5204 is 2115477

Given numbers has no common factors except 1. So, there LCM is their product i.e 8461908

Least Common Multiple of 2132,3969 with GCF Formula

Least Common Multiple of 2132,3969 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 2132,3969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2132,3969) = 1

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

GCF(2132,3969) x common factors =1 x 1 = 1

LCM(2132,3969) = ( 2132 × 3969 ) / 1

LCM(2132,3969) = 8461908 / 1

LCM(2132,3969) = 8461908


Lets's calculate GCF of 644,5204

2 644, 5204
2 322, 2602
161, 1301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8461908/4

Therefore the LCM of Fractions 2132/644,3969/5204 is 2115477

Greatest Common Factor of 644,5204 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,5204 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 5204

List of positive integer factors of 5204 that divides 5204 without a remainder.

1,2,4,1301,2602,5204

Greatest Common Factor

We found the factors 644,5204 . The biggest common factor number is the GCF number.
So the greatest common factor 644,5204 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 2132/644, 3969/5204

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 2132/644, 3969/5204?

Answer: LCM of Numerators as per given numbers 2132/644, 3969/5204 is

LCM of Numerators i.e. for 2132,3969 is 8461908

GCF of denominators i.e. for 644,5204 is 4.

Thus, LCM of Fractions is 2115477.Finally, LCM of Fractions for 2132/644, 3969/5204 is 2115477.