Least Common Multiple of 24/878, 570/392, 535/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/878, 570/392, 535/105 quickly i.e. 243960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/878, 570/392, 535/105 is 243960.

LCM(24/878, 570/392, 535/105) = 243960

LCM of 24/878, 570/392, 535/105

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 24/878,570/392,535/105

Given numbers are 24/878,570/392,535/105

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 24,570,535

Least Common Multiple of Numerators i.e. LCM of 24,570,535 is 243960.

GCF of Denominators means GCF of 878,392,105 as per the given fractions.

GCF of 878,392,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,570,535

LCM of Fractions 24/878,570/392,535/105 is 243960

2 24, 570, 535
3 12, 285, 535
5 4, 95, 535
4, 19, 107

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 19 x 107 = 243960

Least Common Multiple of 24,570,535 with GCF Formula

Least Common Multiple of 24,570,535 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 24,570,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,570,535) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(24,570,535) x common factors =1 x 30 = 30

LCM(24,570,535) = ( 24 × 570 × 535 ) / 30

LCM(24,570,535) = 7318800 / 30

LCM(24,570,535) = 243960


Lets's calculate GCF of 878,392,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243960/1

Therefore the LCM of Fractions 24/878,570/392,535/105 is 243960

Greatest Common Factor of 878,392,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,392,105 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 878,392,105 . The biggest common factor number is the GCF number.
So the greatest common factor 878,392,105 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 24/878, 570/392, 535/105

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 24/878, 570/392, 535/105?

Answer: LCM of Numerators as per given numbers 24/878, 570/392, 535/105 is

LCM of Numerators i.e. for 24,570,535 is 243960

GCF of denominators i.e. for 878,392,105 is 1.

Thus, LCM of Fractions is 243960.Finally, LCM of Fractions for 24/878, 570/392, 535/105 is 243960.