Least Common Multiple of 31/24, 51/104, 388/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/24, 51/104, 388/612 quickly i.e. 153357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/24, 51/104, 388/612 is 153357.

LCM(31/24, 51/104, 388/612) = 153357

LCM of 31/24, 51/104, 388/612

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 31/24,51/104,388/612

Given numbers are 31/24,51/104,388/612

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 31,51,388

Least Common Multiple of Numerators i.e. LCM of 31,51,388 is 613428.

GCF of Denominators means GCF of 24,104,612 as per the given fractions.

GCF of 24,104,612 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,51,388

LCM of Fractions 31/24,51/104,388/612 is 153357

Given numbers has no common factors except 1. So, there LCM is their product i.e 613428

Least Common Multiple of 31,51,388 with GCF Formula

Least Common Multiple of 31,51,388 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 31,51,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,51,388) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,51,388) x common factors =1 x 1 = 1

LCM(31,51,388) = ( 31 × 51 × 388 ) / 1

LCM(31,51,388) = 613428 / 1

LCM(31,51,388) = 613428


Lets's calculate GCF of 24,104,612

2 24, 104, 612
2 12, 52, 306
6, 26, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 613428/4

Therefore the LCM of Fractions 31/24,51/104,388/612 is 153357

Greatest Common Factor of 24,104,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,104,612 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 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 24,104,612 . The biggest common factor number is the GCF number.
So the greatest common factor 24,104,612 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 31/24, 51/104, 388/612

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 31/24, 51/104, 388/612?

Answer: LCM of Numerators as per given numbers 31/24, 51/104, 388/612 is

LCM of Numerators i.e. for 31,51,388 is 613428

GCF of denominators i.e. for 24,104,612 is 4.

Thus, LCM of Fractions is 153357.Finally, LCM of Fractions for 31/24, 51/104, 388/612 is 153357.