Least Common Multiple of 32/369, 612/542, 111/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/369, 612/542, 111/891 quickly i.e. 181152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/369, 612/542, 111/891 is 181152.

LCM(32/369, 612/542, 111/891) = 181152

LCM of 32/369, 612/542, 111/891

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 32/369,612/542,111/891

Given numbers are 32/369,612/542,111/891

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 32,612,111

Least Common Multiple of Numerators i.e. LCM of 32,612,111 is 181152.

GCF of Denominators means GCF of 369,542,891 as per the given fractions.

GCF of 369,542,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,612,111

LCM of Fractions 32/369,612/542,111/891 is 181152

2 32, 612, 111
2 16, 306, 111
3 8, 153, 111
8, 51, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 51 x 37 = 181152

Least Common Multiple of 32,612,111 with GCF Formula

Least Common Multiple of 32,612,111 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 32,612,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,612,111) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(32,612,111) x common factors =1 x 12 = 12

LCM(32,612,111) = ( 32 × 612 × 111 ) / 12

LCM(32,612,111) = 2173824 / 12

LCM(32,612,111) = 181152


Lets's calculate GCF of 369,542,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181152/1

Therefore the LCM of Fractions 32/369,612/542,111/891 is 181152

Greatest Common Factor of 369,542,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,542,891 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

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

Greatest Common Factor

We found the factors 369,542,891 . The biggest common factor number is the GCF number.
So the greatest common factor 369,542,891 is 1.


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 32/369, 612/542, 111/891

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 32/369, 612/542, 111/891?

Answer: LCM of Numerators as per given numbers 32/369, 612/542, 111/891 is

LCM of Numerators i.e. for 32,612,111 is 181152

GCF of denominators i.e. for 369,542,891 is 1.

Thus, LCM of Fractions is 181152.Finally, LCM of Fractions for 32/369, 612/542, 111/891 is 181152.