Least Common Multiple of 6135/237, 1711/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6135/237, 1711/690 quickly i.e. 3498995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6135/237, 1711/690 is 3498995.

LCM(6135/237, 1711/690) = 3498995

LCM of 6135/237, 1711/690

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 6135/237,1711/690

Given numbers are 6135/237,1711/690

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 6135,1711

Least Common Multiple of Numerators i.e. LCM of 6135,1711 is 10496985.

GCF of Denominators means GCF of 237,690 as per the given fractions.

GCF of 237,690 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6135,1711

LCM of Fractions 6135/237,1711/690 is 3498995

Given numbers has no common factors except 1. So, there LCM is their product i.e 10496985

Least Common Multiple of 6135,1711 with GCF Formula

Least Common Multiple of 6135,1711 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 6135,1711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6135,1711) = 1

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

GCF(6135,1711) x common factors =1 x 1 = 1

LCM(6135,1711) = ( 6135 × 1711 ) / 1

LCM(6135,1711) = 10496985 / 1

LCM(6135,1711) = 10496985


Lets's calculate GCF of 237,690

3 237, 690
79, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10496985/3

Therefore the LCM of Fractions 6135/237,1711/690 is 3498995

Greatest Common Factor of 237,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,690 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 237,690 . The biggest common factor number is the GCF number.
So the greatest common factor 237,690 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 6135/237, 1711/690

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 6135/237, 1711/690?

Answer: LCM of Numerators as per given numbers 6135/237, 1711/690 is

LCM of Numerators i.e. for 6135,1711 is 10496985

GCF of denominators i.e. for 237,690 is 3.

Thus, LCM of Fractions is 3498995.Finally, LCM of Fractions for 6135/237, 1711/690 is 3498995.