Least Common Multiple of 24/572, 219/854, 450/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/572, 219/854, 450/578 quickly i.e. 65700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/572, 219/854, 450/578 is 65700.

LCM(24/572, 219/854, 450/578) = 65700

LCM of 24/572, 219/854, 450/578

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 24/572,219/854,450/578

Given numbers are 24/572,219/854,450/578

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 24,219,450

Least Common Multiple of Numerators i.e. LCM of 24,219,450 is 131400.

GCF of Denominators means GCF of 572,854,578 as per the given fractions.

GCF of 572,854,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,219,450

LCM of Fractions 24/572,219/854,450/578 is 65700

2 24, 219, 450
3 12, 219, 225
4, 73, 75

∴ So the LCM of the given numbers is 2 x 3 x 4 x 73 x 75 = 131400

Least Common Multiple of 24,219,450 with GCF Formula

Least Common Multiple of 24,219,450 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 24,219,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,219,450) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(24,219,450) x common factors =3 x 6 = 18

LCM(24,219,450) = ( 24 × 219 × 450 ) / 18

LCM(24,219,450) = 2365200 / 18

LCM(24,219,450) = 131400


Lets's calculate GCF of 572,854,578

2 572, 854, 578
286, 427, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131400/2

Therefore the LCM of Fractions 24/572,219/854,450/578 is 65700

Greatest Common Factor of 572,854,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,854,578 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 572,854,578 . The biggest common factor number is the GCF number.
So the greatest common factor 572,854,578 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 24/572, 219/854, 450/578

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 24/572, 219/854, 450/578?

Answer: LCM of Numerators as per given numbers 24/572, 219/854, 450/578 is

LCM of Numerators i.e. for 24,219,450 is 131400

GCF of denominators i.e. for 572,854,578 is 2.

Thus, LCM of Fractions is 65700.Finally, LCM of Fractions for 24/572, 219/854, 450/578 is 65700.