Least Common Multiple of 311/68, 425/22, 214/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/68, 425/22, 214/108 quickly i.e. 14142725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/68, 425/22, 214/108 is 14142725.

LCM(311/68, 425/22, 214/108) = 14142725

LCM of 311/68, 425/22, 214/108

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 311/68,425/22,214/108

Given numbers are 311/68,425/22,214/108

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 311,425,214

Least Common Multiple of Numerators i.e. LCM of 311,425,214 is 28285450.

GCF of Denominators means GCF of 68,22,108 as per the given fractions.

GCF of 68,22,108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,425,214

LCM of Fractions 311/68,425/22,214/108 is 14142725

Given numbers has no common factors except 1. So, there LCM is their product i.e 28285450

Least Common Multiple of 311,425,214 with GCF Formula

Least Common Multiple of 311,425,214 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 311,425,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,425,214) = 1

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

GCF(311,425,214) x common factors =1 x 1 = 1

LCM(311,425,214) = ( 311 × 425 × 214 ) / 1

LCM(311,425,214) = 28285450 / 1

LCM(311,425,214) = 28285450


Lets's calculate GCF of 68,22,108

2 68, 22, 108
34, 11, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28285450/2

Therefore the LCM of Fractions 311/68,425/22,214/108 is 14142725

Greatest Common Factor of 68,22,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,22,108 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 68,22,108 . The biggest common factor number is the GCF number.
So the greatest common factor 68,22,108 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 311/68, 425/22, 214/108

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 311/68, 425/22, 214/108?

Answer: LCM of Numerators as per given numbers 311/68, 425/22, 214/108 is

LCM of Numerators i.e. for 311,425,214 is 28285450

GCF of denominators i.e. for 68,22,108 is 2.

Thus, LCM of Fractions is 14142725.Finally, LCM of Fractions for 311/68, 425/22, 214/108 is 14142725.