Least Common Multiple of 150/18, 452/42, 671/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/18, 452/42, 671/152 quickly i.e. 11373450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/18, 452/42, 671/152 is 11373450.

LCM(150/18, 452/42, 671/152) = 11373450

LCM of 150/18, 452/42, 671/152

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 150/18,452/42,671/152

Given numbers are 150/18,452/42,671/152

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 150,452,671

Least Common Multiple of Numerators i.e. LCM of 150,452,671 is 22746900.

GCF of Denominators means GCF of 18,42,152 as per the given fractions.

GCF of 18,42,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,452,671

LCM of Fractions 150/18,452/42,671/152 is 11373450

2 150, 452, 671
75, 226, 671

∴ So the LCM of the given numbers is 2 x 75 x 226 x 671 = 22746900

Least Common Multiple of 150,452,671 with GCF Formula

Least Common Multiple of 150,452,671 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 150,452,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,452,671) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(150,452,671) x common factors =1 x 2 = 2

LCM(150,452,671) = ( 150 × 452 × 671 ) / 2

LCM(150,452,671) = 45493800 / 2

LCM(150,452,671) = 22746900


Lets's calculate GCF of 18,42,152

2 18, 42, 152
9, 21, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22746900/2

Therefore the LCM of Fractions 150/18,452/42,671/152 is 11373450

Greatest Common Factor of 18,42,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,42,152 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 18,42,152 . The biggest common factor number is the GCF number.
So the greatest common factor 18,42,152 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 150/18, 452/42, 671/152

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 150/18, 452/42, 671/152?

Answer: LCM of Numerators as per given numbers 150/18, 452/42, 671/152 is

LCM of Numerators i.e. for 150,452,671 is 22746900

GCF of denominators i.e. for 18,42,152 is 2.

Thus, LCM of Fractions is 11373450.Finally, LCM of Fractions for 150/18, 452/42, 671/152 is 11373450.