Least Common Multiple of 3112/168, 4071/5722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3112/168, 4071/5722 quickly i.e. 6334476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3112/168, 4071/5722 is 6334476.

LCM(3112/168, 4071/5722) = 6334476

LCM of 3112/168, 4071/5722

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 3112/168,4071/5722

Given numbers are 3112/168,4071/5722

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 3112,4071

Least Common Multiple of Numerators i.e. LCM of 3112,4071 is 12668952.

GCF of Denominators means GCF of 168,5722 as per the given fractions.

GCF of 168,5722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3112,4071

LCM of Fractions 3112/168,4071/5722 is 6334476

Given numbers has no common factors except 1. So, there LCM is their product i.e 12668952

Least Common Multiple of 3112,4071 with GCF Formula

Least Common Multiple of 3112,4071 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 3112,4071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3112,4071) = 1

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

GCF(3112,4071) x common factors =1 x 1 = 1

LCM(3112,4071) = ( 3112 × 4071 ) / 1

LCM(3112,4071) = 12668952 / 1

LCM(3112,4071) = 12668952


Lets's calculate GCF of 168,5722

2 168, 5722
84, 2861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12668952/2

Therefore the LCM of Fractions 3112/168,4071/5722 is 6334476

Greatest Common Factor of 168,5722 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,5722 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 5722

List of positive integer factors of 5722 that divides 5722 without a remainder.

1,2,2861,5722

Greatest Common Factor

We found the factors 168,5722 . The biggest common factor number is the GCF number.
So the greatest common factor 168,5722 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 3112/168, 4071/5722

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 3112/168, 4071/5722?

Answer: LCM of Numerators as per given numbers 3112/168, 4071/5722 is

LCM of Numerators i.e. for 3112,4071 is 12668952

GCF of denominators i.e. for 168,5722 is 2.

Thus, LCM of Fractions is 6334476.Finally, LCM of Fractions for 3112/168, 4071/5722 is 6334476.