Least Common Multiple of 500/78, 5660/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/78, 5660/800 quickly i.e. 70750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/78, 5660/800 is 70750.

LCM(500/78, 5660/800) = 70750

LCM of 500/78, 5660/800

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 500/78,5660/800

Given numbers are 500/78,5660/800

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 500,5660

Least Common Multiple of Numerators i.e. LCM of 500,5660 is 141500.

GCF of Denominators means GCF of 78,800 as per the given fractions.

GCF of 78,800 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,5660

LCM of Fractions 500/78,5660/800 is 70750

2 500, 5660
2 250, 2830
5 125, 1415
25, 283

∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 283 = 141500

Least Common Multiple of 500,5660 with GCF Formula

Least Common Multiple of 500,5660 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 500,5660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,5660) = 20

common factors(in case of two or more numbers have common factors) = 1

GCF(500,5660) x common factors =20 x 1 = 20

LCM(500,5660) = ( 500 × 5660 ) / 20

LCM(500,5660) = 2830000 / 20

LCM(500,5660) = 141500


Lets's calculate GCF of 78,800

2 78, 800
39, 400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141500/2

Therefore the LCM of Fractions 500/78,5660/800 is 70750

Greatest Common Factor of 78,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,800 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 78,800 . The biggest common factor number is the GCF number.
So the greatest common factor 78,800 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 500/78, 5660/800

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 500/78, 5660/800?

Answer: LCM of Numerators as per given numbers 500/78, 5660/800 is

LCM of Numerators i.e. for 500,5660 is 141500

GCF of denominators i.e. for 78,800 is 2.

Thus, LCM of Fractions is 70750.Finally, LCM of Fractions for 500/78, 5660/800 is 70750.