Least Common Multiple of 264/75, 615/81, 574/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/75, 615/81, 574/10 quickly i.e. 378840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/75, 615/81, 574/10 is 378840.

LCM(264/75, 615/81, 574/10) = 378840

LCM of 264/75, 615/81, 574/10

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 264/75,615/81,574/10

Given numbers are 264/75,615/81,574/10

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 264,615,574

Least Common Multiple of Numerators i.e. LCM of 264,615,574 is 378840.

GCF of Denominators means GCF of 75,81,10 as per the given fractions.

GCF of 75,81,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,615,574

LCM of Fractions 264/75,615/81,574/10 is 378840

2 264, 615, 574
3 132, 615, 287
41 44, 205, 287
44, 5, 7

∴ So the LCM of the given numbers is 2 x 3 x 41 x 44 x 5 x 7 = 378840

Least Common Multiple of 264,615,574 with GCF Formula

Least Common Multiple of 264,615,574 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 264,615,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,615,574) = 1

common factors(in case of two or more numbers have common factors) = 246

GCF(264,615,574) x common factors =1 x 246 = 246

LCM(264,615,574) = ( 264 × 615 × 574 ) / 246

LCM(264,615,574) = 93194640 / 246

LCM(264,615,574) = 378840


Lets's calculate GCF of 75,81,10

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378840/1

Therefore the LCM of Fractions 264/75,615/81,574/10 is 378840

Greatest Common Factor of 75,81,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,81,10 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 75,81,10 . The biggest common factor number is the GCF number.
So the greatest common factor 75,81,10 is 1.


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 264/75, 615/81, 574/10

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 264/75, 615/81, 574/10?

Answer: LCM of Numerators as per given numbers 264/75, 615/81, 574/10 is

LCM of Numerators i.e. for 264,615,574 is 378840

GCF of denominators i.e. for 75,81,10 is 1.

Thus, LCM of Fractions is 378840.Finally, LCM of Fractions for 264/75, 615/81, 574/10 is 378840.