Least Common Multiple of 24/149, 25/339, 725/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/149, 25/339, 725/283 quickly i.e. 17400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/149, 25/339, 725/283 is 17400.

LCM(24/149, 25/339, 725/283) = 17400

LCM of 24/149, 25/339, 725/283

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 24/149,25/339,725/283

Given numbers are 24/149,25/339,725/283

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 24,25,725

Least Common Multiple of Numerators i.e. LCM of 24,25,725 is 17400.

GCF of Denominators means GCF of 149,339,283 as per the given fractions.

GCF of 149,339,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,25,725

LCM of Fractions 24/149,25/339,725/283 is 17400

5 24, 25, 725
5 24, 5, 145
24, 1, 29

∴ So the LCM of the given numbers is 5 x 5 x 24 x 1 x 29 = 17400

Least Common Multiple of 24,25,725 with GCF Formula

Least Common Multiple of 24,25,725 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 24,25,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,25,725) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(24,25,725) x common factors =1 x 25 = 25

LCM(24,25,725) = ( 24 × 25 × 725 ) / 25

LCM(24,25,725) = 435000 / 25

LCM(24,25,725) = 17400


Lets's calculate GCF of 149,339,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17400/1

Therefore the LCM of Fractions 24/149,25/339,725/283 is 17400

Greatest Common Factor of 149,339,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,339,283 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 149,339,283 . The biggest common factor number is the GCF number.
So the greatest common factor 149,339,283 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/149, 25/339, 725/283

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 24/149, 25/339, 725/283?

Answer: LCM of Numerators as per given numbers 24/149, 25/339, 725/283 is

LCM of Numerators i.e. for 24,25,725 is 17400

GCF of denominators i.e. for 149,339,283 is 1.

Thus, LCM of Fractions is 17400.Finally, LCM of Fractions for 24/149, 25/339, 725/283 is 17400.