Least Common Multiple of 753/81, 704/92, 612/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/81, 704/92, 612/540 quickly i.e. 27035712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/81, 704/92, 612/540 is 27035712.

LCM(753/81, 704/92, 612/540) = 27035712

LCM of 753/81, 704/92, 612/540

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 753/81,704/92,612/540

Given numbers are 753/81,704/92,612/540

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 753,704,612

Least Common Multiple of Numerators i.e. LCM of 753,704,612 is 27035712.

GCF of Denominators means GCF of 81,92,540 as per the given fractions.

GCF of 81,92,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,704,612

LCM of Fractions 753/81,704/92,612/540 is 27035712

2 753, 704, 612
2 753, 352, 306
3 753, 176, 153
251, 176, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 251 x 176 x 51 = 27035712

Least Common Multiple of 753,704,612 with GCF Formula

Least Common Multiple of 753,704,612 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 753,704,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,704,612) = 1

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

GCF(753,704,612) x common factors =1 x 12 = 12

LCM(753,704,612) = ( 753 × 704 × 612 ) / 12

LCM(753,704,612) = 324428544 / 12

LCM(753,704,612) = 27035712


Lets's calculate GCF of 81,92,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27035712/1

Therefore the LCM of Fractions 753/81,704/92,612/540 is 27035712

Greatest Common Factor of 81,92,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,92,540 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 81,92,540 . The biggest common factor number is the GCF number.
So the greatest common factor 81,92,540 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 753/81, 704/92, 612/540

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 753/81, 704/92, 612/540?

Answer: LCM of Numerators as per given numbers 753/81, 704/92, 612/540 is

LCM of Numerators i.e. for 753,704,612 is 27035712

GCF of denominators i.e. for 81,92,540 is 1.

Thus, LCM of Fractions is 27035712.Finally, LCM of Fractions for 753/81, 704/92, 612/540 is 27035712.