Least Common Multiple of 474/84, 512/84, 311/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 474/84, 512/84, 311/489 quickly i.e. 12579328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/84, 512/84, 311/489 is 12579328.

LCM(474/84, 512/84, 311/489) = 12579328

LCM of 474/84, 512/84, 311/489

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 474/84,512/84,311/489

Given numbers are 474/84,512/84,311/489

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 474,512,311

Least Common Multiple of Numerators i.e. LCM of 474,512,311 is 37737984.

GCF of Denominators means GCF of 84,84,489 as per the given fractions.

GCF of 84,84,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,512,311

LCM of Fractions 474/84,512/84,311/489 is 12579328

2 474, 512, 311
237, 256, 311

∴ So the LCM of the given numbers is 2 x 237 x 256 x 311 = 37737984

Least Common Multiple of 474,512,311 with GCF Formula

Least Common Multiple of 474,512,311 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 474,512,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,512,311) = 1

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

GCF(474,512,311) x common factors =1 x 2 = 2

LCM(474,512,311) = ( 474 × 512 × 311 ) / 2

LCM(474,512,311) = 75475968 / 2

LCM(474,512,311) = 37737984


Lets's calculate GCF of 84,84,489

3 84, 84, 489
28, 28, 163

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37737984/3

Therefore the LCM of Fractions 474/84,512/84,311/489 is 12579328

Greatest Common Factor of 84,84,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,84,489 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 84,84,489 . The biggest common factor number is the GCF number.
So the greatest common factor 84,84,489 is 3.


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 474/84, 512/84, 311/489

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 474/84, 512/84, 311/489?

Answer: LCM of Numerators as per given numbers 474/84, 512/84, 311/489 is

LCM of Numerators i.e. for 474,512,311 is 37737984

GCF of denominators i.e. for 84,84,489 is 3.

Thus, LCM of Fractions is 12579328.Finally, LCM of Fractions for 474/84, 512/84, 311/489 is 12579328.