Least Common Multiple of 311/124, 839/462, 192/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/124, 839/462, 192/466 quickly i.e. 25049184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/124, 839/462, 192/466 is 25049184.

LCM(311/124, 839/462, 192/466) = 25049184

LCM of 311/124, 839/462, 192/466

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 311/124,839/462,192/466

Given numbers are 311/124,839/462,192/466

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 311,839,192

Least Common Multiple of Numerators i.e. LCM of 311,839,192 is 50098368.

GCF of Denominators means GCF of 124,462,466 as per the given fractions.

GCF of 124,462,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,839,192

LCM of Fractions 311/124,839/462,192/466 is 25049184

Given numbers has no common factors except 1. So, there LCM is their product i.e 50098368

Least Common Multiple of 311,839,192 with GCF Formula

Least Common Multiple of 311,839,192 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 311,839,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,839,192) = 1

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

GCF(311,839,192) x common factors =1 x 1 = 1

LCM(311,839,192) = ( 311 × 839 × 192 ) / 1

LCM(311,839,192) = 50098368 / 1

LCM(311,839,192) = 50098368


Lets's calculate GCF of 124,462,466

2 124, 462, 466
62, 231, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50098368/2

Therefore the LCM of Fractions 311/124,839/462,192/466 is 25049184

Greatest Common Factor of 124,462,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,462,466 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 124,462,466 . The biggest common factor number is the GCF number.
So the greatest common factor 124,462,466 is 2.


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 311/124, 839/462, 192/466

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 311/124, 839/462, 192/466?

Answer: LCM of Numerators as per given numbers 311/124, 839/462, 192/466 is

LCM of Numerators i.e. for 311,839,192 is 50098368

GCF of denominators i.e. for 124,462,466 is 2.

Thus, LCM of Fractions is 25049184.Finally, LCM of Fractions for 311/124, 839/462, 192/466 is 25049184.