Least Common Multiple of 3560/378, 7081/2000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3560/378, 7081/2000 quickly i.e. 12604180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3560/378, 7081/2000 is 12604180.

LCM(3560/378, 7081/2000) = 12604180

LCM of 3560/378, 7081/2000

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 3560/378,7081/2000

Given numbers are 3560/378,7081/2000

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 3560,7081

Least Common Multiple of Numerators i.e. LCM of 3560,7081 is 25208360.

GCF of Denominators means GCF of 378,2000 as per the given fractions.

GCF of 378,2000 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3560,7081

LCM of Fractions 3560/378,7081/2000 is 12604180

Given numbers has no common factors except 1. So, there LCM is their product i.e 25208360

Least Common Multiple of 3560,7081 with GCF Formula

Least Common Multiple of 3560,7081 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 3560,7081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3560,7081) = 1

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

GCF(3560,7081) x common factors =1 x 1 = 1

LCM(3560,7081) = ( 3560 × 7081 ) / 1

LCM(3560,7081) = 25208360 / 1

LCM(3560,7081) = 25208360


Lets's calculate GCF of 378,2000

2 378, 2000
189, 1000

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25208360/2

Therefore the LCM of Fractions 3560/378,7081/2000 is 12604180

Greatest Common Factor of 378,2000 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,2000 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 2000

List of positive integer factors of 2000 that divides 2000 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000

Greatest Common Factor

We found the factors 378,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 378,2000 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 3560/378, 7081/2000

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 3560/378, 7081/2000?

Answer: LCM of Numerators as per given numbers 3560/378, 7081/2000 is

LCM of Numerators i.e. for 3560,7081 is 25208360

GCF of denominators i.e. for 378,2000 is 2.

Thus, LCM of Fractions is 12604180.Finally, LCM of Fractions for 3560/378, 7081/2000 is 12604180.