Least Common Multiple of 12/24, 863/72, 549/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/24, 863/72, 549/124 quickly i.e. 473787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/24, 863/72, 549/124 is 473787.

LCM(12/24, 863/72, 549/124) = 473787

LCM of 12/24, 863/72, 549/124

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 12/24,863/72,549/124

Given numbers are 12/24,863/72,549/124

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 12,863,549

Least Common Multiple of Numerators i.e. LCM of 12,863,549 is 1895148.

GCF of Denominators means GCF of 24,72,124 as per the given fractions.

GCF of 24,72,124 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,863,549

LCM of Fractions 12/24,863/72,549/124 is 473787

3 12, 863, 549
4, 863, 183

∴ So the LCM of the given numbers is 3 x 4 x 863 x 183 = 1895148

Least Common Multiple of 12,863,549 with GCF Formula

Least Common Multiple of 12,863,549 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 12,863,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,863,549) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(12,863,549) x common factors =1 x 3 = 3

LCM(12,863,549) = ( 12 × 863 × 549 ) / 3

LCM(12,863,549) = 5685444 / 3

LCM(12,863,549) = 1895148


Lets's calculate GCF of 24,72,124

2 24, 72, 124
2 12, 36, 62
6, 18, 31

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1895148/4

Therefore the LCM of Fractions 12/24,863/72,549/124 is 473787

Greatest Common Factor of 24,72,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,72,124 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 24,72,124 . The biggest common factor number is the GCF number.
So the greatest common factor 24,72,124 is 4.


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 12/24, 863/72, 549/124

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 12/24, 863/72, 549/124?

Answer: LCM of Numerators as per given numbers 12/24, 863/72, 549/124 is

LCM of Numerators i.e. for 12,863,549 is 1895148

GCF of denominators i.e. for 24,72,124 is 4.

Thus, LCM of Fractions is 473787.Finally, LCM of Fractions for 12/24, 863/72, 549/124 is 473787.