Least Common Multiple of 540/70, 576/40, 475/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/70, 576/40, 475/296 quickly i.e. 410400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/70, 576/40, 475/296 is 410400.

LCM(540/70, 576/40, 475/296) = 410400

LCM of 540/70, 576/40, 475/296

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 540/70,576/40,475/296

Given numbers are 540/70,576/40,475/296

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 540,576,475

Least Common Multiple of Numerators i.e. LCM of 540,576,475 is 820800.

GCF of Denominators means GCF of 70,40,296 as per the given fractions.

GCF of 70,40,296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,576,475

LCM of Fractions 540/70,576/40,475/296 is 410400

2 540, 576, 475
2 270, 288, 475
3 135, 144, 475
3 45, 48, 475
5 15, 16, 475
3, 16, 95

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 3 x 16 x 95 = 820800

Least Common Multiple of 540,576,475 with GCF Formula

Least Common Multiple of 540,576,475 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 540,576,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,576,475) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(540,576,475) x common factors =1 x 180 = 180

LCM(540,576,475) = ( 540 × 576 × 475 ) / 180

LCM(540,576,475) = 147744000 / 180

LCM(540,576,475) = 820800


Lets's calculate GCF of 70,40,296

2 70, 40, 296
35, 20, 148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820800/2

Therefore the LCM of Fractions 540/70,576/40,475/296 is 410400

Greatest Common Factor of 70,40,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,40,296 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 70,40,296 . The biggest common factor number is the GCF number.
So the greatest common factor 70,40,296 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 540/70, 576/40, 475/296

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 540/70, 576/40, 475/296?

Answer: LCM of Numerators as per given numbers 540/70, 576/40, 475/296 is

LCM of Numerators i.e. for 540,576,475 is 820800

GCF of denominators i.e. for 70,40,296 is 2.

Thus, LCM of Fractions is 410400.Finally, LCM of Fractions for 540/70, 576/40, 475/296 is 410400.