Least Common Multiple of 540/60, 736/5074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/60, 736/5074 quickly i.e. 49680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/60, 736/5074 is 49680.

LCM(540/60, 736/5074) = 49680

LCM of 540/60, 736/5074

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 540/60,736/5074

Given numbers are 540/60,736/5074

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 540,736

Least Common Multiple of Numerators i.e. LCM of 540,736 is 99360.

GCF of Denominators means GCF of 60,5074 as per the given fractions.

GCF of 60,5074 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,736

LCM of Fractions 540/60,736/5074 is 49680

2 540, 736
2 270, 368
135, 184

∴ So the LCM of the given numbers is 2 x 2 x 135 x 184 = 99360

Least Common Multiple of 540,736 with GCF Formula

Least Common Multiple of 540,736 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 540,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,736) = 4

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

GCF(540,736) x common factors =4 x 1 = 4

LCM(540,736) = ( 540 × 736 ) / 4

LCM(540,736) = 397440 / 4

LCM(540,736) = 99360


Lets's calculate GCF of 60,5074

2 60, 5074
30, 2537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99360/2

Therefore the LCM of Fractions 540/60,736/5074 is 49680

Greatest Common Factor of 60,5074 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,5074 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 5074

List of positive integer factors of 5074 that divides 5074 without a remainder.

1,2,43,59,86,118,2537,5074

Greatest Common Factor

We found the factors 60,5074 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5074 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 540/60, 736/5074

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 540/60, 736/5074?

Answer: LCM of Numerators as per given numbers 540/60, 736/5074 is

LCM of Numerators i.e. for 540,736 is 99360

GCF of denominators i.e. for 60,5074 is 2.

Thus, LCM of Fractions is 49680.Finally, LCM of Fractions for 540/60, 736/5074 is 49680.