Least Common Multiple of 135/58, 380/38, 246/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/58, 380/38, 246/136 quickly i.e. 210330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/58, 380/38, 246/136 is 210330.

LCM(135/58, 380/38, 246/136) = 210330

LCM of 135/58, 380/38, 246/136

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 135/58,380/38,246/136

Given numbers are 135/58,380/38,246/136

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 135,380,246

Least Common Multiple of Numerators i.e. LCM of 135,380,246 is 420660.

GCF of Denominators means GCF of 58,38,136 as per the given fractions.

GCF of 58,38,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,380,246

LCM of Fractions 135/58,380/38,246/136 is 210330

2 135, 380, 246
3 135, 190, 123
5 45, 190, 41
9, 38, 41

∴ So the LCM of the given numbers is 2 x 3 x 5 x 9 x 38 x 41 = 420660

Least Common Multiple of 135,380,246 with GCF Formula

Least Common Multiple of 135,380,246 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 135,380,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,380,246) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(135,380,246) x common factors =1 x 30 = 30

LCM(135,380,246) = ( 135 × 380 × 246 ) / 30

LCM(135,380,246) = 12619800 / 30

LCM(135,380,246) = 420660


Lets's calculate GCF of 58,38,136

2 58, 38, 136
29, 19, 68

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420660/2

Therefore the LCM of Fractions 135/58,380/38,246/136 is 210330

Greatest Common Factor of 58,38,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,38,136 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 58,38,136 . The biggest common factor number is the GCF number.
So the greatest common factor 58,38,136 is 2.


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 135/58, 380/38, 246/136

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 135/58, 380/38, 246/136?

Answer: LCM of Numerators as per given numbers 135/58, 380/38, 246/136 is

LCM of Numerators i.e. for 135,380,246 is 420660

GCF of denominators i.e. for 58,38,136 is 2.

Thus, LCM of Fractions is 210330.Finally, LCM of Fractions for 135/58, 380/38, 246/136 is 210330.