Least Common Multiple of 926/542, 3746/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 926/542, 3746/266 quickly i.e. 867199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/542, 3746/266 is 867199.

LCM(926/542, 3746/266) = 867199

LCM of 926/542, 3746/266

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 926/542,3746/266

Given numbers are 926/542,3746/266

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 926,3746

Least Common Multiple of Numerators i.e. LCM of 926,3746 is 1734398.

GCF of Denominators means GCF of 542,266 as per the given fractions.

GCF of 542,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,3746

LCM of Fractions 926/542,3746/266 is 867199

2 926, 3746
463, 1873

∴ So the LCM of the given numbers is 2 x 463 x 1873 = 1734398

Least Common Multiple of 926,3746 with GCF Formula

Least Common Multiple of 926,3746 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 926,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,3746) = 2

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

GCF(926,3746) x common factors =2 x 1 = 2

LCM(926,3746) = ( 926 × 3746 ) / 2

LCM(926,3746) = 3468796 / 2

LCM(926,3746) = 1734398


Lets's calculate GCF of 542,266

2 542, 266
271, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1734398/2

Therefore the LCM of Fractions 926/542,3746/266 is 867199

Greatest Common Factor of 542,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,266 By Matching Biggest Common Factor Method

Factors of 542

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

1,2,271,542

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 542,266 . The biggest common factor number is the GCF number.
So the greatest common factor 542,266 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 926/542, 3746/266

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 926/542, 3746/266?

Answer: LCM of Numerators as per given numbers 926/542, 3746/266 is

LCM of Numerators i.e. for 926,3746 is 1734398

GCF of denominators i.e. for 542,266 is 2.

Thus, LCM of Fractions is 867199.Finally, LCM of Fractions for 926/542, 3746/266 is 867199.