Least Common Multiple of 438/24, 114/45, 725/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/24, 114/45, 725/582 quickly i.e. 2011150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/24, 114/45, 725/582 is 2011150.

LCM(438/24, 114/45, 725/582) = 2011150

LCM of 438/24, 114/45, 725/582

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 438/24,114/45,725/582

Given numbers are 438/24,114/45,725/582

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 438,114,725

Least Common Multiple of Numerators i.e. LCM of 438,114,725 is 6033450.

GCF of Denominators means GCF of 24,45,582 as per the given fractions.

GCF of 24,45,582 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,114,725

LCM of Fractions 438/24,114/45,725/582 is 2011150

2 438, 114, 725
3 219, 57, 725
73, 19, 725

∴ So the LCM of the given numbers is 2 x 3 x 73 x 19 x 725 = 6033450

Least Common Multiple of 438,114,725 with GCF Formula

Least Common Multiple of 438,114,725 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 438,114,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,114,725) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(438,114,725) x common factors =1 x 6 = 6

LCM(438,114,725) = ( 438 × 114 × 725 ) / 6

LCM(438,114,725) = 36200700 / 6

LCM(438,114,725) = 6033450


Lets's calculate GCF of 24,45,582

3 24, 45, 582
8, 15, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6033450/3

Therefore the LCM of Fractions 438/24,114/45,725/582 is 2011150

Greatest Common Factor of 24,45,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,45,582 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 24,45,582 . The biggest common factor number is the GCF number.
So the greatest common factor 24,45,582 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 438/24, 114/45, 725/582

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 438/24, 114/45, 725/582?

Answer: LCM of Numerators as per given numbers 438/24, 114/45, 725/582 is

LCM of Numerators i.e. for 438,114,725 is 6033450

GCF of denominators i.e. for 24,45,582 is 3.

Thus, LCM of Fractions is 2011150.Finally, LCM of Fractions for 438/24, 114/45, 725/582 is 2011150.