Least Common Multiple of 56/720, 24/584, 500/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/720, 24/584, 500/716 quickly i.e. 5250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/720, 24/584, 500/716 is 5250.

LCM(56/720, 24/584, 500/716) = 5250

LCM of 56/720, 24/584, 500/716

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 56/720,24/584,500/716

Given numbers are 56/720,24/584,500/716

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 56,24,500

Least Common Multiple of Numerators i.e. LCM of 56,24,500 is 21000.

GCF of Denominators means GCF of 720,584,716 as per the given fractions.

GCF of 720,584,716 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,24,500

LCM of Fractions 56/720,24/584,500/716 is 5250

2 56, 24, 500
2 28, 12, 250
2 14, 6, 125
7, 3, 125

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 3 x 125 = 21000

Least Common Multiple of 56,24,500 with GCF Formula

Least Common Multiple of 56,24,500 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 56,24,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,24,500) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(56,24,500) x common factors =4 x 8 = 32

LCM(56,24,500) = ( 56 × 24 × 500 ) / 32

LCM(56,24,500) = 672000 / 32

LCM(56,24,500) = 21000


Lets's calculate GCF of 720,584,716

2 720, 584, 716
2 360, 292, 358
180, 146, 179

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21000/4

Therefore the LCM of Fractions 56/720,24/584,500/716 is 5250

Greatest Common Factor of 720,584,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,584,716 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 720,584,716 . The biggest common factor number is the GCF number.
So the greatest common factor 720,584,716 is 4.


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 56/720, 24/584, 500/716

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 56/720, 24/584, 500/716?

Answer: LCM of Numerators as per given numbers 56/720, 24/584, 500/716 is

LCM of Numerators i.e. for 56,24,500 is 21000

GCF of denominators i.e. for 720,584,716 is 4.

Thus, LCM of Fractions is 5250.Finally, LCM of Fractions for 56/720, 24/584, 500/716 is 5250.