Least Common Multiple of 2232/975, 9543/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2232/975, 9543/306 quickly i.e. 2366664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2232/975, 9543/306 is 2366664.

LCM(2232/975, 9543/306) = 2366664

LCM of 2232/975, 9543/306

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 2232/975,9543/306

Given numbers are 2232/975,9543/306

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 2232,9543

Least Common Multiple of Numerators i.e. LCM of 2232,9543 is 7099992.

GCF of Denominators means GCF of 975,306 as per the given fractions.

GCF of 975,306 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2232,9543

LCM of Fractions 2232/975,9543/306 is 2366664

3 2232, 9543
744, 3181

∴ So the LCM of the given numbers is 3 x 744 x 3181 = 7099992

Least Common Multiple of 2232,9543 with GCF Formula

Least Common Multiple of 2232,9543 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 2232,9543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2232,9543) = 3

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

GCF(2232,9543) x common factors =3 x 1 = 3

LCM(2232,9543) = ( 2232 × 9543 ) / 3

LCM(2232,9543) = 21299976 / 3

LCM(2232,9543) = 7099992


Lets's calculate GCF of 975,306

3 975, 306
325, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7099992/3

Therefore the LCM of Fractions 2232/975,9543/306 is 2366664

Greatest Common Factor of 975,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,306 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 975,306 . The biggest common factor number is the GCF number.
So the greatest common factor 975,306 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 2232/975, 9543/306

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 2232/975, 9543/306?

Answer: LCM of Numerators as per given numbers 2232/975, 9543/306 is

LCM of Numerators i.e. for 2232,9543 is 7099992

GCF of denominators i.e. for 975,306 is 3.

Thus, LCM of Fractions is 2366664.Finally, LCM of Fractions for 2232/975, 9543/306 is 2366664.