Least Common Multiple of 32/891, 235/282, 180/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/891, 235/282, 180/875 quickly i.e. 67680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/891, 235/282, 180/875 is 67680.

LCM(32/891, 235/282, 180/875) = 67680

LCM of 32/891, 235/282, 180/875

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 32/891,235/282,180/875

Given numbers are 32/891,235/282,180/875

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 32,235,180

Least Common Multiple of Numerators i.e. LCM of 32,235,180 is 67680.

GCF of Denominators means GCF of 891,282,875 as per the given fractions.

GCF of 891,282,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,235,180

LCM of Fractions 32/891,235/282,180/875 is 67680

2 32, 235, 180
2 16, 235, 90
5 8, 235, 45
8, 47, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 8 x 47 x 9 = 67680

Least Common Multiple of 32,235,180 with GCF Formula

Least Common Multiple of 32,235,180 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 32,235,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,235,180) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(32,235,180) x common factors =1 x 20 = 20

LCM(32,235,180) = ( 32 × 235 × 180 ) / 20

LCM(32,235,180) = 1353600 / 20

LCM(32,235,180) = 67680


Lets's calculate GCF of 891,282,875

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67680/1

Therefore the LCM of Fractions 32/891,235/282,180/875 is 67680

Greatest Common Factor of 891,282,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,282,875 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 891,282,875 . The biggest common factor number is the GCF number.
So the greatest common factor 891,282,875 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/891, 235/282, 180/875

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 32/891, 235/282, 180/875?

Answer: LCM of Numerators as per given numbers 32/891, 235/282, 180/875 is

LCM of Numerators i.e. for 32,235,180 is 67680

GCF of denominators i.e. for 891,282,875 is 1.

Thus, LCM of Fractions is 67680.Finally, LCM of Fractions for 32/891, 235/282, 180/875 is 67680.