Least Common Multiple of 22/868, 4602/3168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/868, 4602/3168 quickly i.e. 50622/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/868, 4602/3168 is 50622/4.

LCM(22/868, 4602/3168) = 50622/4

LCM of 22/868, 4602/3168

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 22/868,4602/3168

Given numbers are 22/868,4602/3168

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 22,4602

Least Common Multiple of Numerators i.e. LCM of 22,4602 is 50622.

GCF of Denominators means GCF of 868,3168 as per the given fractions.

GCF of 868,3168 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,4602

LCM of Fractions 22/868,4602/3168 is 50622/4

2 22, 4602
11, 2301

∴ So the LCM of the given numbers is 2 x 11 x 2301 = 50622

Least Common Multiple of 22,4602 with GCF Formula

Least Common Multiple of 22,4602 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 22,4602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,4602) = 2

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

GCF(22,4602) x common factors =2 x 1 = 2

LCM(22,4602) = ( 22 × 4602 ) / 2

LCM(22,4602) = 101244 / 2

LCM(22,4602) = 50622


Lets's calculate GCF of 868,3168

2 868, 3168
2 434, 1584
217, 792

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50622/4

Therefore the LCM of Fractions 22/868,4602/3168 is 50622/4

Greatest Common Factor of 868,3168 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,3168 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168

Greatest Common Factor

We found the factors 868,3168 . The biggest common factor number is the GCF number.
So the greatest common factor 868,3168 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/868, 4602/3168

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 22/868, 4602/3168?

Answer: LCM of Numerators as per given numbers 22/868, 4602/3168 is

LCM of Numerators i.e. for 22,4602 is 50622

GCF of denominators i.e. for 868,3168 is 4.

Thus, LCM of Fractions is 50622/4.Finally, LCM of Fractions for 22/868, 4602/3168 is 50622/4.