Least Common Multiple of 4389/252, 2725/2968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4389/252, 2725/2968 quickly i.e. 11960025/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4389/252, 2725/2968 is 11960025/28.

LCM(4389/252, 2725/2968) = 11960025/28

LCM of 4389/252, 2725/2968

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 4389/252,2725/2968

Given numbers are 4389/252,2725/2968

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 4389,2725

Least Common Multiple of Numerators i.e. LCM of 4389,2725 is 11960025.

GCF of Denominators means GCF of 252,2968 as per the given fractions.

GCF of 252,2968 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4389,2725

LCM of Fractions 4389/252,2725/2968 is 11960025/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 11960025

Least Common Multiple of 4389,2725 with GCF Formula

Least Common Multiple of 4389,2725 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 4389,2725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4389,2725) = 1

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

GCF(4389,2725) x common factors =1 x 1 = 1

LCM(4389,2725) = ( 4389 × 2725 ) / 1

LCM(4389,2725) = 11960025 / 1

LCM(4389,2725) = 11960025


Lets's calculate GCF of 252,2968

2 252, 2968
2 126, 1484
7 63, 742
9, 106

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11960025/28

Therefore the LCM of Fractions 4389/252,2725/2968 is 11960025/28

Greatest Common Factor of 252,2968 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,2968 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 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Greatest Common Factor

We found the factors 252,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 252,2968 is 28.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4389/252, 2725/2968

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 4389/252, 2725/2968?

Answer: LCM of Numerators as per given numbers 4389/252, 2725/2968 is

LCM of Numerators i.e. for 4389,2725 is 11960025

GCF of denominators i.e. for 252,2968 is 28.

Thus, LCM of Fractions is 11960025/28.Finally, LCM of Fractions for 4389/252, 2725/2968 is 11960025/28.