Least Common Multiple of 24/479, 720/620, 761/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/479, 720/620, 761/688 quickly i.e. 547920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/479, 720/620, 761/688 is 547920.

LCM(24/479, 720/620, 761/688) = 547920

LCM of 24/479, 720/620, 761/688

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 24/479,720/620,761/688

Given numbers are 24/479,720/620,761/688

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 24,720,761

Least Common Multiple of Numerators i.e. LCM of 24,720,761 is 547920.

GCF of Denominators means GCF of 479,620,688 as per the given fractions.

GCF of 479,620,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,720,761

LCM of Fractions 24/479,720/620,761/688 is 547920

2 24, 720, 761
2 12, 360, 761
2 6, 180, 761
3 3, 90, 761
1, 30, 761

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 30 x 761 = 547920

Least Common Multiple of 24,720,761 with GCF Formula

Least Common Multiple of 24,720,761 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 24,720,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,720,761) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(24,720,761) x common factors =1 x 24 = 24

LCM(24,720,761) = ( 24 × 720 × 761 ) / 24

LCM(24,720,761) = 13150080 / 24

LCM(24,720,761) = 547920


Lets's calculate GCF of 479,620,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547920/1

Therefore the LCM of Fractions 24/479,720/620,761/688 is 547920

Greatest Common Factor of 479,620,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,620,688 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 479,620,688 . The biggest common factor number is the GCF number.
So the greatest common factor 479,620,688 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 24/479, 720/620, 761/688

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 24/479, 720/620, 761/688?

Answer: LCM of Numerators as per given numbers 24/479, 720/620, 761/688 is

LCM of Numerators i.e. for 24,720,761 is 547920

GCF of denominators i.e. for 479,620,688 is 1.

Thus, LCM of Fractions is 547920.Finally, LCM of Fractions for 24/479, 720/620, 761/688 is 547920.