Least Common Multiple of 383/24, 572/5140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 383/24, 572/5140 quickly i.e. 54769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 383/24, 572/5140 is 54769.

LCM(383/24, 572/5140) = 54769

LCM of 383/24, 572/5140

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 383/24,572/5140

Given numbers are 383/24,572/5140

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 383,572

Least Common Multiple of Numerators i.e. LCM of 383,572 is 219076.

GCF of Denominators means GCF of 24,5140 as per the given fractions.

GCF of 24,5140 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 383,572

LCM of Fractions 383/24,572/5140 is 54769

Given numbers has no common factors except 1. So, there LCM is their product i.e 219076

Least Common Multiple of 383,572 with GCF Formula

Least Common Multiple of 383,572 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 383,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,572) = 1

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

GCF(383,572) x common factors =1 x 1 = 1

LCM(383,572) = ( 383 × 572 ) / 1

LCM(383,572) = 219076 / 1

LCM(383,572) = 219076


Lets's calculate GCF of 24,5140

2 24, 5140
2 12, 2570
6, 1285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219076/4

Therefore the LCM of Fractions 383/24,572/5140 is 54769

Greatest Common Factor of 24,5140 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,5140 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 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

Greatest Common Factor

We found the factors 24,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 24,5140 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 383/24, 572/5140

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 383/24, 572/5140?

Answer: LCM of Numerators as per given numbers 383/24, 572/5140 is

LCM of Numerators i.e. for 383,572 is 219076

GCF of denominators i.e. for 24,5140 is 4.

Thus, LCM of Fractions is 54769.Finally, LCM of Fractions for 383/24, 572/5140 is 54769.