Least Common Multiple of 24/795, 975/862, 300/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/795, 975/862, 300/578 quickly i.e. 7800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/795, 975/862, 300/578 is 7800.

LCM(24/795, 975/862, 300/578) = 7800

LCM of 24/795, 975/862, 300/578

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 24/795,975/862,300/578

Given numbers are 24/795,975/862,300/578

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 24,975,300

Least Common Multiple of Numerators i.e. LCM of 24,975,300 is 7800.

GCF of Denominators means GCF of 795,862,578 as per the given fractions.

GCF of 795,862,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,975,300

LCM of Fractions 24/795,975/862,300/578 is 7800

2 24, 975, 300
2 12, 975, 150
3 6, 975, 75
5 2, 325, 25
5 2, 65, 5
2, 13, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 2 x 13 x 1 = 7800

Least Common Multiple of 24,975,300 with GCF Formula

Least Common Multiple of 24,975,300 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 24,975,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,975,300) = 3

common factors(in case of two or more numbers have common factors) = 300

GCF(24,975,300) x common factors =3 x 300 = 900

LCM(24,975,300) = ( 24 × 975 × 300 ) / 900

LCM(24,975,300) = 7020000 / 900

LCM(24,975,300) = 7800


Lets's calculate GCF of 795,862,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/1

Therefore the LCM of Fractions 24/795,975/862,300/578 is 7800

Greatest Common Factor of 795,862,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,862,578 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

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 795,862,578 . The biggest common factor number is the GCF number.
So the greatest common factor 795,862,578 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 24/795, 975/862, 300/578

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 24/795, 975/862, 300/578?

Answer: LCM of Numerators as per given numbers 24/795, 975/862, 300/578 is

LCM of Numerators i.e. for 24,975,300 is 7800

GCF of denominators i.e. for 795,862,578 is 1.

Thus, LCM of Fractions is 7800.Finally, LCM of Fractions for 24/795, 975/862, 300/578 is 7800.