Least Common Multiple of 600/24, 185/59, 400/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/24, 185/59, 400/159 quickly i.e. 44400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/24, 185/59, 400/159 is 44400.

LCM(600/24, 185/59, 400/159) = 44400

LCM of 600/24, 185/59, 400/159

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 600/24,185/59,400/159

Given numbers are 600/24,185/59,400/159

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 600,185,400

Least Common Multiple of Numerators i.e. LCM of 600,185,400 is 44400.

GCF of Denominators means GCF of 24,59,159 as per the given fractions.

GCF of 24,59,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,185,400

LCM of Fractions 600/24,185/59,400/159 is 44400

2 600, 185, 400
2 300, 185, 200
2 150, 185, 100
5 75, 185, 50
5 15, 37, 10
3, 37, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 3 x 37 x 2 = 44400

Least Common Multiple of 600,185,400 with GCF Formula

Least Common Multiple of 600,185,400 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 600,185,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,185,400) = 5

common factors(in case of two or more numbers have common factors) = 200

GCF(600,185,400) x common factors =5 x 200 = 1000

LCM(600,185,400) = ( 600 × 185 × 400 ) / 1000

LCM(600,185,400) = 44400000 / 1000

LCM(600,185,400) = 44400


Lets's calculate GCF of 24,59,159

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44400/1

Therefore the LCM of Fractions 600/24,185/59,400/159 is 44400

Greatest Common Factor of 24,59,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,59,159 By Matching Biggest Common Factor Method

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 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 24,59,159 . The biggest common factor number is the GCF number.
So the greatest common factor 24,59,159 is 1.


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 600/24, 185/59, 400/159

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 600/24, 185/59, 400/159?

Answer: LCM of Numerators as per given numbers 600/24, 185/59, 400/159 is

LCM of Numerators i.e. for 600,185,400 is 44400

GCF of denominators i.e. for 24,59,159 is 1.

Thus, LCM of Fractions is 44400.Finally, LCM of Fractions for 600/24, 185/59, 400/159 is 44400.