Least Common Multiple of 152/66, 137/57, 341/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/66, 137/57, 341/218 quickly i.e. 7100984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/66, 137/57, 341/218 is 7100984.

LCM(152/66, 137/57, 341/218) = 7100984

LCM of 152/66, 137/57, 341/218

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 152/66,137/57,341/218

Given numbers are 152/66,137/57,341/218

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 152,137,341

Least Common Multiple of Numerators i.e. LCM of 152,137,341 is 7100984.

GCF of Denominators means GCF of 66,57,218 as per the given fractions.

GCF of 66,57,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,137,341

LCM of Fractions 152/66,137/57,341/218 is 7100984

Given numbers has no common factors except 1. So, there LCM is their product i.e 7100984

Least Common Multiple of 152,137,341 with GCF Formula

Least Common Multiple of 152,137,341 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 152,137,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,137,341) = 1

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

GCF(152,137,341) x common factors =1 x 1 = 1

LCM(152,137,341) = ( 152 × 137 × 341 ) / 1

LCM(152,137,341) = 7100984 / 1

LCM(152,137,341) = 7100984


Lets's calculate GCF of 66,57,218

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7100984/1

Therefore the LCM of Fractions 152/66,137/57,341/218 is 7100984

Greatest Common Factor of 66,57,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,57,218 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 66,57,218 . The biggest common factor number is the GCF number.
So the greatest common factor 66,57,218 is 1.


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 152/66, 137/57, 341/218

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 152/66, 137/57, 341/218?

Answer: LCM of Numerators as per given numbers 152/66, 137/57, 341/218 is

LCM of Numerators i.e. for 152,137,341 is 7100984

GCF of denominators i.e. for 66,57,218 is 1.

Thus, LCM of Fractions is 7100984.Finally, LCM of Fractions for 152/66, 137/57, 341/218 is 7100984.