Least Common Multiple of 52/54, 97/74, 566/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/54, 97/74, 566/874 quickly i.e. 713726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/54, 97/74, 566/874 is 713726.

LCM(52/54, 97/74, 566/874) = 713726

LCM of 52/54, 97/74, 566/874

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 52/54,97/74,566/874

Given numbers are 52/54,97/74,566/874

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 52,97,566

Least Common Multiple of Numerators i.e. LCM of 52,97,566 is 1427452.

GCF of Denominators means GCF of 54,74,874 as per the given fractions.

GCF of 54,74,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,97,566

LCM of Fractions 52/54,97/74,566/874 is 713726

2 52, 97, 566
26, 97, 283

∴ So the LCM of the given numbers is 2 x 26 x 97 x 283 = 1427452

Least Common Multiple of 52,97,566 with GCF Formula

Least Common Multiple of 52,97,566 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 52,97,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,97,566) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,97,566) x common factors =1 x 2 = 2

LCM(52,97,566) = ( 52 × 97 × 566 ) / 2

LCM(52,97,566) = 2854904 / 2

LCM(52,97,566) = 1427452


Lets's calculate GCF of 54,74,874

2 54, 74, 874
27, 37, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1427452/2

Therefore the LCM of Fractions 52/54,97/74,566/874 is 713726

Greatest Common Factor of 54,74,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,74,874 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 54,74,874 . The biggest common factor number is the GCF number.
So the greatest common factor 54,74,874 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 52/54, 97/74, 566/874

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 52/54, 97/74, 566/874?

Answer: LCM of Numerators as per given numbers 52/54, 97/74, 566/874 is

LCM of Numerators i.e. for 52,97,566 is 1427452

GCF of denominators i.e. for 54,74,874 is 2.

Thus, LCM of Fractions is 713726.Finally, LCM of Fractions for 52/54, 97/74, 566/874 is 713726.