Least Common Multiple of 54/750, 52/154, 576/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/750, 52/154, 576/902 quickly i.e. 11232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/750, 52/154, 576/902 is 11232.

LCM(54/750, 52/154, 576/902) = 11232

LCM of 54/750, 52/154, 576/902

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 54/750,52/154,576/902

Given numbers are 54/750,52/154,576/902

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 54,52,576

Least Common Multiple of Numerators i.e. LCM of 54,52,576 is 22464.

GCF of Denominators means GCF of 750,154,902 as per the given fractions.

GCF of 750,154,902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,52,576

LCM of Fractions 54/750,52/154,576/902 is 11232

2 54, 52, 576
2 27, 26, 288
3 27, 13, 144
3 9, 13, 48
3, 13, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 13 x 16 = 22464

Least Common Multiple of 54,52,576 with GCF Formula

Least Common Multiple of 54,52,576 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 54,52,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,52,576) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(54,52,576) x common factors =2 x 36 = 72

LCM(54,52,576) = ( 54 × 52 × 576 ) / 72

LCM(54,52,576) = 1617408 / 72

LCM(54,52,576) = 22464


Lets's calculate GCF of 750,154,902

2 750, 154, 902
375, 77, 451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22464/2

Therefore the LCM of Fractions 54/750,52/154,576/902 is 11232

Greatest Common Factor of 750,154,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,154,902 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 750,154,902 . The biggest common factor number is the GCF number.
So the greatest common factor 750,154,902 is 2.


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 54/750, 52/154, 576/902

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 54/750, 52/154, 576/902?

Answer: LCM of Numerators as per given numbers 54/750, 52/154, 576/902 is

LCM of Numerators i.e. for 54,52,576 is 22464

GCF of denominators i.e. for 750,154,902 is 2.

Thus, LCM of Fractions is 11232.Finally, LCM of Fractions for 54/750, 52/154, 576/902 is 11232.