Least Common Multiple of 186/270, 6857/7119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/270, 6857/7119 quickly i.e. 1275402/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/270, 6857/7119 is 1275402/9.

LCM(186/270, 6857/7119) = 1275402/9

LCM of 186/270, 6857/7119

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 186/270,6857/7119

Given numbers are 186/270,6857/7119

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 186,6857

Least Common Multiple of Numerators i.e. LCM of 186,6857 is 1275402.

GCF of Denominators means GCF of 270,7119 as per the given fractions.

GCF of 270,7119 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,6857

LCM of Fractions 186/270,6857/7119 is 1275402/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 1275402

Least Common Multiple of 186,6857 with GCF Formula

Least Common Multiple of 186,6857 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 186,6857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,6857) = 1

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

GCF(186,6857) x common factors =1 x 1 = 1

LCM(186,6857) = ( 186 × 6857 ) / 1

LCM(186,6857) = 1275402 / 1

LCM(186,6857) = 1275402


Lets's calculate GCF of 270,7119

3 270, 7119
3 90, 2373
30, 791

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1275402/9

Therefore the LCM of Fractions 186/270,6857/7119 is 1275402/9

Greatest Common Factor of 270,7119 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,7119 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 7119

List of positive integer factors of 7119 that divides 7119 without a remainder.

1,3,7,9,21,63,113,339,791,1017,2373,7119

Greatest Common Factor

We found the factors 270,7119 . The biggest common factor number is the GCF number.
So the greatest common factor 270,7119 is 9.


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 186/270, 6857/7119

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 186/270, 6857/7119?

Answer: LCM of Numerators as per given numbers 186/270, 6857/7119 is

LCM of Numerators i.e. for 186,6857 is 1275402

GCF of denominators i.e. for 270,7119 is 9.

Thus, LCM of Fractions is 1275402/9.Finally, LCM of Fractions for 186/270, 6857/7119 is 1275402/9.