Least Common Multiple of 15/30, 29/54, 42/33, 10/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/30, 29/54, 42/33, 10/135 quickly i.e. 2030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/30, 29/54, 42/33, 10/135 is 2030.

LCM(15/30, 29/54, 42/33, 10/135) = 2030

LCM of 15/30, 29/54, 42/33, 10/135

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 15/30,29/54,42/33,10/135

Given numbers are 15/30,29/54,42/33,10/135

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 15,29,42,10

Least Common Multiple of Numerators i.e. LCM of 15,29,42,10 is 6090.

GCF of Denominators means GCF of 30,54,33,135 as per the given fractions.

GCF of 30,54,33,135 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,29,42,10

LCM of Fractions 15/30,29/54,42/33,10/135 is 2030

2 15, 29, 42, 10
3 15, 29, 21, 5
5 5, 29, 7, 5
1, 29, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 29 x 7 x 1 = 6090

Least Common Multiple of 15,29,42,10 with GCF Formula

Least Common Multiple of 15,29,42,10 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 15,29,42,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,29,42,10) = 1

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

GCF(15,29,42,10) x common factors =1 x 30 = 30

LCM(15,29,42,10) = ( 15 × 29 × 42 × 10 ) / 30

LCM(15,29,42,10) = 182700 / 30

LCM(15,29,42,10) = 6090


Lets's calculate GCF of 30,54,33,135

3 30, 54, 33, 135
10, 18, 11, 45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6090/3

Therefore the LCM of Fractions 15/30,29/54,42/33,10/135 is 2030

Greatest Common Factor of 30,54,33,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,54,33,135 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 30,54,33,135 . The biggest common factor number is the GCF number.
So the greatest common factor 30,54,33,135 is 3.


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 15/30, 29/54, 42/33, 10/135

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 15/30, 29/54, 42/33, 10/135?

Answer: LCM of Numerators as per given numbers 15/30, 29/54, 42/33, 10/135 is

LCM of Numerators i.e. for 15,29,42,10 is 6090

GCF of denominators i.e. for 30,54,33,135 is 3.

Thus, LCM of Fractions is 2030.Finally, LCM of Fractions for 15/30, 29/54, 42/33, 10/135 is 2030.