Least Common Multiple of 767/24, 540/54, 111/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/24, 540/54, 111/891 quickly i.e. 5108220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/24, 540/54, 111/891 is 5108220.

LCM(767/24, 540/54, 111/891) = 5108220

LCM of 767/24, 540/54, 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 767/24,540/54,111/891

Given numbers are 767/24,540/54,111/891

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 767,540,111

Least Common Multiple of Numerators i.e. LCM of 767,540,111 is 15324660.

GCF of Denominators means GCF of 24,54,891 as per the given fractions.

GCF of 24,54,891 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,540,111

LCM of Fractions 767/24,540/54,111/891 is 5108220

3 767, 540, 111
767, 180, 37

∴ So the LCM of the given numbers is 3 x 767 x 180 x 37 = 15324660

Least Common Multiple of 767,540,111 with GCF Formula

Least Common Multiple of 767,540,111 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 767,540,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,540,111) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(767,540,111) x common factors =1 x 3 = 3

LCM(767,540,111) = ( 767 × 540 × 111 ) / 3

LCM(767,540,111) = 45973980 / 3

LCM(767,540,111) = 15324660


Lets's calculate GCF of 24,54,891

3 24, 54, 891
8, 18, 297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15324660/3

Therefore the LCM of Fractions 767/24,540/54,111/891 is 5108220

Greatest Common Factor of 24,54,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,54,891 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 24,54,891 . The biggest common factor number is the GCF number.
So the greatest common factor 24,54,891 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 767/24, 540/54, 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 767/24, 540/54, 111/891?

Answer: LCM of Numerators as per given numbers 767/24, 540/54, 111/891 is

LCM of Numerators i.e. for 767,540,111 is 15324660

GCF of denominators i.e. for 24,54,891 is 3.

Thus, LCM of Fractions is 5108220.Finally, LCM of Fractions for 767/24, 540/54, 111/891 is 5108220.