Least Common Multiple of 296/26, 3742/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/26, 3742/542 quickly i.e. 276908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/26, 3742/542 is 276908.

LCM(296/26, 3742/542) = 276908

LCM of 296/26, 3742/542

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 296/26,3742/542

Given numbers are 296/26,3742/542

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 296,3742

Least Common Multiple of Numerators i.e. LCM of 296,3742 is 553816.

GCF of Denominators means GCF of 26,542 as per the given fractions.

GCF of 26,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,3742

LCM of Fractions 296/26,3742/542 is 276908

2 296, 3742
148, 1871

∴ So the LCM of the given numbers is 2 x 148 x 1871 = 553816

Least Common Multiple of 296,3742 with GCF Formula

Least Common Multiple of 296,3742 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 296,3742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,3742) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(296,3742) x common factors =2 x 1 = 2

LCM(296,3742) = ( 296 × 3742 ) / 2

LCM(296,3742) = 1107632 / 2

LCM(296,3742) = 553816


Lets's calculate GCF of 26,542

2 26, 542
13, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553816/2

Therefore the LCM of Fractions 296/26,3742/542 is 276908

Greatest Common Factor of 26,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,542 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 26,542 . The biggest common factor number is the GCF number.
So the greatest common factor 26,542 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 296/26, 3742/542

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 296/26, 3742/542?

Answer: LCM of Numerators as per given numbers 296/26, 3742/542 is

LCM of Numerators i.e. for 296,3742 is 553816

GCF of denominators i.e. for 26,542 is 2.

Thus, LCM of Fractions is 276908.Finally, LCM of Fractions for 296/26, 3742/542 is 276908.