Least Common Multiple of 150/10, 300/24, 831/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/10, 300/24, 831/388 quickly i.e. 41550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/10, 300/24, 831/388 is 41550.

LCM(150/10, 300/24, 831/388) = 41550

LCM of 150/10, 300/24, 831/388

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 150/10,300/24,831/388

Given numbers are 150/10,300/24,831/388

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 150,300,831

Least Common Multiple of Numerators i.e. LCM of 150,300,831 is 83100.

GCF of Denominators means GCF of 10,24,388 as per the given fractions.

GCF of 10,24,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,300,831

LCM of Fractions 150/10,300/24,831/388 is 41550

2 150, 300, 831
3 75, 150, 831
5 25, 50, 277
5 5, 10, 277
1, 2, 277

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 2 x 277 = 83100

Least Common Multiple of 150,300,831 with GCF Formula

Least Common Multiple of 150,300,831 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 150,300,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,300,831) = 3

common factors(in case of two or more numbers have common factors) = 150

GCF(150,300,831) x common factors =3 x 150 = 450

LCM(150,300,831) = ( 150 × 300 × 831 ) / 450

LCM(150,300,831) = 37395000 / 450

LCM(150,300,831) = 83100


Lets's calculate GCF of 10,24,388

2 10, 24, 388
5, 12, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83100/2

Therefore the LCM of Fractions 150/10,300/24,831/388 is 41550

Greatest Common Factor of 10,24,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,24,388 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 10,24,388 . The biggest common factor number is the GCF number.
So the greatest common factor 10,24,388 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 150/10, 300/24, 831/388

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 150/10, 300/24, 831/388?

Answer: LCM of Numerators as per given numbers 150/10, 300/24, 831/388 is

LCM of Numerators i.e. for 150,300,831 is 83100

GCF of denominators i.e. for 10,24,388 is 2.

Thus, LCM of Fractions is 41550.Finally, LCM of Fractions for 150/10, 300/24, 831/388 is 41550.