Least Common Multiple of 74/427, 72/742, 115/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/427, 72/742, 115/538 quickly i.e. 306360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/427, 72/742, 115/538 is 306360.

LCM(74/427, 72/742, 115/538) = 306360

LCM of 74/427, 72/742, 115/538

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 74/427,72/742,115/538

Given numbers are 74/427,72/742,115/538

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 74,72,115

Least Common Multiple of Numerators i.e. LCM of 74,72,115 is 306360.

GCF of Denominators means GCF of 427,742,538 as per the given fractions.

GCF of 427,742,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,72,115

LCM of Fractions 74/427,72/742,115/538 is 306360

2 74, 72, 115
37, 36, 115

∴ So the LCM of the given numbers is 2 x 37 x 36 x 115 = 306360

Least Common Multiple of 74,72,115 with GCF Formula

Least Common Multiple of 74,72,115 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 74,72,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,72,115) = 1

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

GCF(74,72,115) x common factors =1 x 2 = 2

LCM(74,72,115) = ( 74 × 72 × 115 ) / 2

LCM(74,72,115) = 612720 / 2

LCM(74,72,115) = 306360


Lets's calculate GCF of 427,742,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306360/1

Therefore the LCM of Fractions 74/427,72/742,115/538 is 306360

Greatest Common Factor of 427,742,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,742,538 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 427,742,538 . The biggest common factor number is the GCF number.
So the greatest common factor 427,742,538 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 74/427, 72/742, 115/538

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 74/427, 72/742, 115/538?

Answer: LCM of Numerators as per given numbers 74/427, 72/742, 115/538 is

LCM of Numerators i.e. for 74,72,115 is 306360

GCF of denominators i.e. for 427,742,538 is 1.

Thus, LCM of Fractions is 306360.Finally, LCM of Fractions for 74/427, 72/742, 115/538 is 306360.