Least Common Multiple of 378/627, 2137/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/627, 2137/225 quickly i.e. 269262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/627, 2137/225 is 269262.

LCM(378/627, 2137/225) = 269262

LCM of 378/627, 2137/225

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 378/627,2137/225

Given numbers are 378/627,2137/225

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 378,2137

Least Common Multiple of Numerators i.e. LCM of 378,2137 is 807786.

GCF of Denominators means GCF of 627,225 as per the given fractions.

GCF of 627,225 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,2137

LCM of Fractions 378/627,2137/225 is 269262

Given numbers has no common factors except 1. So, there LCM is their product i.e 807786

Least Common Multiple of 378,2137 with GCF Formula

Least Common Multiple of 378,2137 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 378,2137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,2137) = 1

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

GCF(378,2137) x common factors =1 x 1 = 1

LCM(378,2137) = ( 378 × 2137 ) / 1

LCM(378,2137) = 807786 / 1

LCM(378,2137) = 807786


Lets's calculate GCF of 627,225

3 627, 225
209, 75

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807786/3

Therefore the LCM of Fractions 378/627,2137/225 is 269262

Greatest Common Factor of 627,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,225 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 627,225 . The biggest common factor number is the GCF number.
So the greatest common factor 627,225 is 3.


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 378/627, 2137/225

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 378/627, 2137/225?

Answer: LCM of Numerators as per given numbers 378/627, 2137/225 is

LCM of Numerators i.e. for 378,2137 is 807786

GCF of denominators i.e. for 627,225 is 3.

Thus, LCM of Fractions is 269262.Finally, LCM of Fractions for 378/627, 2137/225 is 269262.