Least Common Multiple of 472/540, 481/804, 117/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/540, 481/804, 117/354 quickly i.e. 340548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/540, 481/804, 117/354 is 340548.

LCM(472/540, 481/804, 117/354) = 340548

LCM of 472/540, 481/804, 117/354

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 472/540,481/804,117/354

Given numbers are 472/540,481/804,117/354

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 472,481,117

Least Common Multiple of Numerators i.e. LCM of 472,481,117 is 2043288.

GCF of Denominators means GCF of 540,804,354 as per the given fractions.

GCF of 540,804,354 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,481,117

LCM of Fractions 472/540,481/804,117/354 is 340548

13 472, 481, 117
472, 37, 9

∴ So the LCM of the given numbers is 13 x 472 x 37 x 9 = 2043288

Least Common Multiple of 472,481,117 with GCF Formula

Least Common Multiple of 472,481,117 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 472,481,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,481,117) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(472,481,117) x common factors =1 x 13 = 13

LCM(472,481,117) = ( 472 × 481 × 117 ) / 13

LCM(472,481,117) = 26562744 / 13

LCM(472,481,117) = 2043288


Lets's calculate GCF of 540,804,354

2 540, 804, 354
3 270, 402, 177
90, 134, 59

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2043288/6

Therefore the LCM of Fractions 472/540,481/804,117/354 is 340548

Greatest Common Factor of 540,804,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,804,354 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 540,804,354 . The biggest common factor number is the GCF number.
So the greatest common factor 540,804,354 is 6.


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 472/540, 481/804, 117/354

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 472/540, 481/804, 117/354?

Answer: LCM of Numerators as per given numbers 472/540, 481/804, 117/354 is

LCM of Numerators i.e. for 472,481,117 is 2043288

GCF of denominators i.e. for 540,804,354 is 6.

Thus, LCM of Fractions is 340548.Finally, LCM of Fractions for 472/540, 481/804, 117/354 is 340548.