Least Common Multiple of 135/58, 498/12, 905/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/58, 498/12, 905/342 quickly i.e. 2028105 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, 498/12, 905/342 is 2028105.

LCM(135/58, 498/12, 905/342) = 2028105

LCM of 135/58, 498/12, 905/342

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 135/58,498/12,905/342

Given numbers are 135/58,498/12,905/342

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 135,498,905

Least Common Multiple of Numerators i.e. LCM of 135,498,905 is 4056210.

GCF of Denominators means GCF of 58,12,342 as per the given fractions.

GCF of 58,12,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,498,905

LCM of Fractions 135/58,498/12,905/342 is 2028105

3 135, 498, 905
5 45, 166, 905
9, 166, 181

∴ So the LCM of the given numbers is 3 x 5 x 9 x 166 x 181 = 4056210

Least Common Multiple of 135,498,905 with GCF Formula

Least Common Multiple of 135,498,905 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 135,498,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,498,905) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(135,498,905) x common factors =1 x 15 = 15

LCM(135,498,905) = ( 135 × 498 × 905 ) / 15

LCM(135,498,905) = 60843150 / 15

LCM(135,498,905) = 4056210


Lets's calculate GCF of 58,12,342

2 58, 12, 342
29, 6, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4056210/2

Therefore the LCM of Fractions 135/58,498/12,905/342 is 2028105

Greatest Common Factor of 58,12,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,12,342 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 58,12,342 . The biggest common factor number is the GCF number.
So the greatest common factor 58,12,342 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, 498/12, 905/342

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, 498/12, 905/342?

Answer: LCM of Numerators as per given numbers 135/58, 498/12, 905/342 is

LCM of Numerators i.e. for 135,498,905 is 4056210

GCF of denominators i.e. for 58,12,342 is 2.

Thus, LCM of Fractions is 2028105.Finally, LCM of Fractions for 135/58, 498/12, 905/342 is 2028105.