Least Common Multiple of 720/80, 370/2110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 720/80, 370/2110 quickly i.e. 2664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/80, 370/2110 is 2664.

LCM(720/80, 370/2110) = 2664

LCM of 720/80, 370/2110

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 720/80,370/2110

Given numbers are 720/80,370/2110

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 720,370

Least Common Multiple of Numerators i.e. LCM of 720,370 is 26640.

GCF of Denominators means GCF of 80,2110 as per the given fractions.

GCF of 80,2110 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,370

LCM of Fractions 720/80,370/2110 is 2664

2 720, 370
5 360, 185
72, 37

∴ So the LCM of the given numbers is 2 x 5 x 72 x 37 = 26640

Least Common Multiple of 720,370 with GCF Formula

Least Common Multiple of 720,370 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 720,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,370) = 10

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

GCF(720,370) x common factors =10 x 1 = 10

LCM(720,370) = ( 720 × 370 ) / 10

LCM(720,370) = 266400 / 10

LCM(720,370) = 26640


Lets's calculate GCF of 80,2110

2 80, 2110
5 40, 1055
8, 211

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26640/10

Therefore the LCM of Fractions 720/80,370/2110 is 2664

Greatest Common Factor of 80,2110 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,2110 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 2110

List of positive integer factors of 2110 that divides 2110 without a remainder.

1,2,5,10,211,422,1055,2110

Greatest Common Factor

We found the factors 80,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 80,2110 is 10.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 720/80, 370/2110

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 720/80, 370/2110?

Answer: LCM of Numerators as per given numbers 720/80, 370/2110 is

LCM of Numerators i.e. for 720,370 is 26640

GCF of denominators i.e. for 80,2110 is 10.

Thus, LCM of Fractions is 2664.Finally, LCM of Fractions for 720/80, 370/2110 is 2664.