Least Common Multiple of 753/54, 771/52, 757/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/54, 771/52, 757/654 quickly i.e. 146495397/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/54, 771/52, 757/654 is 146495397/2.

LCM(753/54, 771/52, 757/654) = 146495397/2

LCM of 753/54, 771/52, 757/654

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 753/54,771/52,757/654

Given numbers are 753/54,771/52,757/654

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 753,771,757

Least Common Multiple of Numerators i.e. LCM of 753,771,757 is 146495397.

GCF of Denominators means GCF of 54,52,654 as per the given fractions.

GCF of 54,52,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,771,757

LCM of Fractions 753/54,771/52,757/654 is 146495397/2

3 753, 771, 757
251, 257, 757

∴ So the LCM of the given numbers is 3 x 251 x 257 x 757 = 146495397

Least Common Multiple of 753,771,757 with GCF Formula

Least Common Multiple of 753,771,757 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 753,771,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,771,757) = 1

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

GCF(753,771,757) x common factors =1 x 3 = 3

LCM(753,771,757) = ( 753 × 771 × 757 ) / 3

LCM(753,771,757) = 439486191 / 3

LCM(753,771,757) = 146495397


Lets's calculate GCF of 54,52,654

2 54, 52, 654
27, 26, 327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146495397/2

Therefore the LCM of Fractions 753/54,771/52,757/654 is 146495397/2

Greatest Common Factor of 54,52,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,52,654 By Matching Biggest Common Factor Method

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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 54,52,654 . The biggest common factor number is the GCF number.
So the greatest common factor 54,52,654 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 753/54, 771/52, 757/654

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 753/54, 771/52, 757/654?

Answer: LCM of Numerators as per given numbers 753/54, 771/52, 757/654 is

LCM of Numerators i.e. for 753,771,757 is 146495397

GCF of denominators i.e. for 54,52,654 is 2.

Thus, LCM of Fractions is 146495397/2.Finally, LCM of Fractions for 753/54, 771/52, 757/654 is 146495397/2.