Least Common Multiple of 42/57, 68/26, 204/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/57, 68/26, 204/206 quickly i.e. 1428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/57, 68/26, 204/206 is 1428.

LCM(42/57, 68/26, 204/206) = 1428

LCM of 42/57, 68/26, 204/206

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 42/57,68/26,204/206

Given numbers are 42/57,68/26,204/206

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 42,68,204

Least Common Multiple of Numerators i.e. LCM of 42,68,204 is 1428.

GCF of Denominators means GCF of 57,26,206 as per the given fractions.

GCF of 57,26,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,68,204

LCM of Fractions 42/57,68/26,204/206 is 1428

2 42, 68, 204
2 21, 34, 102
3 21, 17, 51
17 7, 17, 17
7, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 7 x 1 x 1 = 1428

Least Common Multiple of 42,68,204 with GCF Formula

Least Common Multiple of 42,68,204 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 42,68,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,68,204) = 2

common factors(in case of two or more numbers have common factors) = 204

GCF(42,68,204) x common factors =2 x 204 = 408

LCM(42,68,204) = ( 42 × 68 × 204 ) / 408

LCM(42,68,204) = 582624 / 408

LCM(42,68,204) = 1428


Lets's calculate GCF of 57,26,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428/1

Therefore the LCM of Fractions 42/57,68/26,204/206 is 1428

Greatest Common Factor of 57,26,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,26,206 By Matching Biggest Common Factor Method

Factors of 57

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

1,3,19,57

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 57,26,206 . The biggest common factor number is the GCF number.
So the greatest common factor 57,26,206 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 42/57, 68/26, 204/206

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 42/57, 68/26, 204/206?

Answer: LCM of Numerators as per given numbers 42/57, 68/26, 204/206 is

LCM of Numerators i.e. for 42,68,204 is 1428

GCF of denominators i.e. for 57,26,206 is 1.

Thus, LCM of Fractions is 1428.Finally, LCM of Fractions for 42/57, 68/26, 204/206 is 1428.