Least Common Multiple of 2152/369, 5752/8379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2152/369, 5752/8379 quickly i.e. 1547288/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2152/369, 5752/8379 is 1547288/9.

LCM(2152/369, 5752/8379) = 1547288/9

LCM of 2152/369, 5752/8379

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 2152/369,5752/8379

Given numbers are 2152/369,5752/8379

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 2152,5752

Least Common Multiple of Numerators i.e. LCM of 2152,5752 is 1547288.

GCF of Denominators means GCF of 369,8379 as per the given fractions.

GCF of 369,8379 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2152,5752

LCM of Fractions 2152/369,5752/8379 is 1547288/9

2 2152, 5752
2 1076, 2876
2 538, 1438
269, 719

∴ So the LCM of the given numbers is 2 x 2 x 2 x 269 x 719 = 1547288

Least Common Multiple of 2152,5752 with GCF Formula

Least Common Multiple of 2152,5752 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 2152,5752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2152,5752) = 8

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

GCF(2152,5752) x common factors =8 x 1 = 8

LCM(2152,5752) = ( 2152 × 5752 ) / 8

LCM(2152,5752) = 12378304 / 8

LCM(2152,5752) = 1547288


Lets's calculate GCF of 369,8379

3 369, 8379
3 123, 2793
41, 931

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1547288/9

Therefore the LCM of Fractions 2152/369,5752/8379 is 1547288/9

Greatest Common Factor of 369,8379 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,8379 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 8379

List of positive integer factors of 8379 that divides 8379 without a remainder.

1,3,7,9,19,21,49,57,63,133,147,171,399,441,931,1197,2793,8379

Greatest Common Factor

We found the factors 369,8379 . The biggest common factor number is the GCF number.
So the greatest common factor 369,8379 is 9.


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 2152/369, 5752/8379

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 2152/369, 5752/8379?

Answer: LCM of Numerators as per given numbers 2152/369, 5752/8379 is

LCM of Numerators i.e. for 2152,5752 is 1547288

GCF of denominators i.e. for 369,8379 is 9.

Thus, LCM of Fractions is 1547288/9.Finally, LCM of Fractions for 2152/369, 5752/8379 is 1547288/9.