Least Common Multiple of 954/225, 2832/7566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 954/225, 2832/7566 quickly i.e. 150096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 954/225, 2832/7566 is 150096.

LCM(954/225, 2832/7566) = 150096

LCM of 954/225, 2832/7566

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 954/225,2832/7566

Given numbers are 954/225,2832/7566

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 954,2832

Least Common Multiple of Numerators i.e. LCM of 954,2832 is 450288.

GCF of Denominators means GCF of 225,7566 as per the given fractions.

GCF of 225,7566 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 954,2832

LCM of Fractions 954/225,2832/7566 is 150096

2 954, 2832
3 477, 1416
159, 472

∴ So the LCM of the given numbers is 2 x 3 x 159 x 472 = 450288

Least Common Multiple of 954,2832 with GCF Formula

Least Common Multiple of 954,2832 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 954,2832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,2832) = 6

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

GCF(954,2832) x common factors =6 x 1 = 6

LCM(954,2832) = ( 954 × 2832 ) / 6

LCM(954,2832) = 2701728 / 6

LCM(954,2832) = 450288


Lets's calculate GCF of 225,7566

3 225, 7566
75, 2522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450288/3

Therefore the LCM of Fractions 954/225,2832/7566 is 150096

Greatest Common Factor of 225,7566 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,7566 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 7566

List of positive integer factors of 7566 that divides 7566 without a remainder.

1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566

Greatest Common Factor

We found the factors 225,7566 . The biggest common factor number is the GCF number.
So the greatest common factor 225,7566 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 954/225, 2832/7566

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 954/225, 2832/7566?

Answer: LCM of Numerators as per given numbers 954/225, 2832/7566 is

LCM of Numerators i.e. for 954,2832 is 450288

GCF of denominators i.e. for 225,7566 is 3.

Thus, LCM of Fractions is 150096.Finally, LCM of Fractions for 954/225, 2832/7566 is 150096.