Least Common Multiple of 72/800, 2020/2556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/800, 2020/2556 quickly i.e. 9090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/800, 2020/2556 is 9090.

LCM(72/800, 2020/2556) = 9090

LCM of 72/800, 2020/2556

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 72/800,2020/2556

Given numbers are 72/800,2020/2556

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 72,2020

Least Common Multiple of Numerators i.e. LCM of 72,2020 is 36360.

GCF of Denominators means GCF of 800,2556 as per the given fractions.

GCF of 800,2556 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,2020

LCM of Fractions 72/800,2020/2556 is 9090

2 72, 2020
2 36, 1010
18, 505

∴ So the LCM of the given numbers is 2 x 2 x 18 x 505 = 36360

Least Common Multiple of 72,2020 with GCF Formula

Least Common Multiple of 72,2020 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 72,2020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,2020) = 4

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

GCF(72,2020) x common factors =4 x 1 = 4

LCM(72,2020) = ( 72 × 2020 ) / 4

LCM(72,2020) = 145440 / 4

LCM(72,2020) = 36360


Lets's calculate GCF of 800,2556

2 800, 2556
2 400, 1278
200, 639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36360/4

Therefore the LCM of Fractions 72/800,2020/2556 is 9090

Greatest Common Factor of 800,2556 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,2556 By Matching Biggest Common Factor Method

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

Factors of 2556

List of positive integer factors of 2556 that divides 2556 without a remainder.

1,2,3,4,6,9,12,18,36,71,142,213,284,426,639,852,1278,2556

Greatest Common Factor

We found the factors 800,2556 . The biggest common factor number is the GCF number.
So the greatest common factor 800,2556 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 72/800, 2020/2556

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 72/800, 2020/2556?

Answer: LCM of Numerators as per given numbers 72/800, 2020/2556 is

LCM of Numerators i.e. for 72,2020 is 36360

GCF of denominators i.e. for 800,2556 is 4.

Thus, LCM of Fractions is 9090.Finally, LCM of Fractions for 72/800, 2020/2556 is 9090.