Least Common Multiple of 478/24, 143/5717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/24, 143/5717 quickly i.e. 68354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/24, 143/5717 is 68354.

LCM(478/24, 143/5717) = 68354

LCM of 478/24, 143/5717

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 478/24,143/5717

Given numbers are 478/24,143/5717

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 478,143

Least Common Multiple of Numerators i.e. LCM of 478,143 is 68354.

GCF of Denominators means GCF of 24,5717 as per the given fractions.

GCF of 24,5717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,143

LCM of Fractions 478/24,143/5717 is 68354

Given numbers has no common factors except 1. So, there LCM is their product i.e 68354

Least Common Multiple of 478,143 with GCF Formula

Least Common Multiple of 478,143 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 478,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,143) = 1

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

GCF(478,143) x common factors =1 x 1 = 1

LCM(478,143) = ( 478 × 143 ) / 1

LCM(478,143) = 68354 / 1

LCM(478,143) = 68354


Lets's calculate GCF of 24,5717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68354/1

Therefore the LCM of Fractions 478/24,143/5717 is 68354

Greatest Common Factor of 24,5717 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,5717 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 5717

List of positive integer factors of 5717 that divides 5717 without a remainder.

1,5717

Greatest Common Factor

We found the factors 24,5717 . The biggest common factor number is the GCF number.
So the greatest common factor 24,5717 is 1.


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 478/24, 143/5717

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 478/24, 143/5717?

Answer: LCM of Numerators as per given numbers 478/24, 143/5717 is

LCM of Numerators i.e. for 478,143 is 68354

GCF of denominators i.e. for 24,5717 is 1.

Thus, LCM of Fractions is 68354.Finally, LCM of Fractions for 478/24, 143/5717 is 68354.