Least Common Multiple of 476/244, 540/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 476/244, 540/292 quickly i.e. 16065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/244, 540/292 is 16065.

LCM(476/244, 540/292) = 16065

LCM of 476/244, 540/292

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 476/244,540/292

Given numbers are 476/244,540/292

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 476,540

Least Common Multiple of Numerators i.e. LCM of 476,540 is 64260.

GCF of Denominators means GCF of 244,292 as per the given fractions.

GCF of 244,292 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,540

LCM of Fractions 476/244,540/292 is 16065

2 476, 540
2 238, 270
119, 135

∴ So the LCM of the given numbers is 2 x 2 x 119 x 135 = 64260

Least Common Multiple of 476,540 with GCF Formula

Least Common Multiple of 476,540 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 476,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,540) = 4

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

GCF(476,540) x common factors =4 x 1 = 4

LCM(476,540) = ( 476 × 540 ) / 4

LCM(476,540) = 257040 / 4

LCM(476,540) = 64260


Lets's calculate GCF of 244,292

2 244, 292
2 122, 146
61, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64260/4

Therefore the LCM of Fractions 476/244,540/292 is 16065

Greatest Common Factor of 244,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,292 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 244,292 . The biggest common factor number is the GCF number.
So the greatest common factor 244,292 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 476/244, 540/292

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 476/244, 540/292?

Answer: LCM of Numerators as per given numbers 476/244, 540/292 is

LCM of Numerators i.e. for 476,540 is 64260

GCF of denominators i.e. for 244,292 is 4.

Thus, LCM of Fractions is 16065.Finally, LCM of Fractions for 476/244, 540/292 is 16065.