Least Common Multiple of 311/94, 912/64, 492/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/94, 912/64, 492/22 quickly i.e. 5814456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/94, 912/64, 492/22 is 5814456.

LCM(311/94, 912/64, 492/22) = 5814456

LCM of 311/94, 912/64, 492/22

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 311/94,912/64,492/22

Given numbers are 311/94,912/64,492/22

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 311,912,492

Least Common Multiple of Numerators i.e. LCM of 311,912,492 is 11628912.

GCF of Denominators means GCF of 94,64,22 as per the given fractions.

GCF of 94,64,22 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,912,492

LCM of Fractions 311/94,912/64,492/22 is 5814456

2 311, 912, 492
2 311, 456, 246
3 311, 228, 123
311, 76, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 311 x 76 x 41 = 11628912

Least Common Multiple of 311,912,492 with GCF Formula

Least Common Multiple of 311,912,492 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 311,912,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,912,492) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(311,912,492) x common factors =1 x 12 = 12

LCM(311,912,492) = ( 311 × 912 × 492 ) / 12

LCM(311,912,492) = 139546944 / 12

LCM(311,912,492) = 11628912


Lets's calculate GCF of 94,64,22

2 94, 64, 22
47, 32, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11628912/2

Therefore the LCM of Fractions 311/94,912/64,492/22 is 5814456

Greatest Common Factor of 94,64,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,64,22 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 22

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

1,2,11,22

Greatest Common Factor

We found the factors 94,64,22 . The biggest common factor number is the GCF number.
So the greatest common factor 94,64,22 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 311/94, 912/64, 492/22

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 311/94, 912/64, 492/22?

Answer: LCM of Numerators as per given numbers 311/94, 912/64, 492/22 is

LCM of Numerators i.e. for 311,912,492 is 11628912

GCF of denominators i.e. for 94,64,22 is 2.

Thus, LCM of Fractions is 5814456.Finally, LCM of Fractions for 311/94, 912/64, 492/22 is 5814456.