Least Common Multiple of 478/57, 508/17, 311/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/57, 508/17, 311/237 quickly i.e. 37759132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/57, 508/17, 311/237 is 37759132.

LCM(478/57, 508/17, 311/237) = 37759132

LCM of 478/57, 508/17, 311/237

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 478/57,508/17,311/237

Given numbers are 478/57,508/17,311/237

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 478,508,311

Least Common Multiple of Numerators i.e. LCM of 478,508,311 is 37759132.

GCF of Denominators means GCF of 57,17,237 as per the given fractions.

GCF of 57,17,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,508,311

LCM of Fractions 478/57,508/17,311/237 is 37759132

2 478, 508, 311
239, 254, 311

∴ So the LCM of the given numbers is 2 x 239 x 254 x 311 = 37759132

Least Common Multiple of 478,508,311 with GCF Formula

Least Common Multiple of 478,508,311 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 478,508,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,508,311) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(478,508,311) x common factors =1 x 2 = 2

LCM(478,508,311) = ( 478 × 508 × 311 ) / 2

LCM(478,508,311) = 75518264 / 2

LCM(478,508,311) = 37759132


Lets's calculate GCF of 57,17,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37759132/1

Therefore the LCM of Fractions 478/57,508/17,311/237 is 37759132

Greatest Common Factor of 57,17,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,17,237 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 57,17,237 . The biggest common factor number is the GCF number.
So the greatest common factor 57,17,237 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 478/57, 508/17, 311/237

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 478/57, 508/17, 311/237?

Answer: LCM of Numerators as per given numbers 478/57, 508/17, 311/237 is

LCM of Numerators i.e. for 478,508,311 is 37759132

GCF of denominators i.e. for 57,17,237 is 1.

Thus, LCM of Fractions is 37759132.Finally, LCM of Fractions for 478/57, 508/17, 311/237 is 37759132.