Least Common Multiple of 3/24, 3/62, 22/72, 66/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/24, 3/62, 22/72, 66/160 quickly i.e. 33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/24, 3/62, 22/72, 66/160 is 33.

LCM(3/24, 3/62, 22/72, 66/160) = 33

LCM of 3/24, 3/62, 22/72, 66/160

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 3/24,3/62,22/72,66/160

Given numbers are 3/24,3/62,22/72,66/160

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 3,3,22,66

Least Common Multiple of Numerators i.e. LCM of 3,3,22,66 is 66.

GCF of Denominators means GCF of 24,62,72,160 as per the given fractions.

GCF of 24,62,72,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,3,22,66

LCM of Fractions 3/24,3/62,22/72,66/160 is 33

2 3, 3, 22, 66
3 3, 3, 11, 33
11 1, 1, 11, 11
1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 1 x 1 x 1 = 66

Least Common Multiple of 3,3,22,66 with GCF Formula

Least Common Multiple of 3,3,22,66 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 3,3,22,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,3,22,66) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(3,3,22,66) x common factors =1 x 198 = 198

LCM(3,3,22,66) = ( 3 × 3 × 22 × 66 ) / 198

LCM(3,3,22,66) = 13068 / 198

LCM(3,3,22,66) = 66


Lets's calculate GCF of 24,62,72,160

2 24, 62, 72, 160
12, 31, 36, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66/2

Therefore the LCM of Fractions 3/24,3/62,22/72,66/160 is 33

Greatest Common Factor of 24,62,72,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,62,72,160 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 24,62,72,160 . The biggest common factor number is the GCF number.
So the greatest common factor 24,62,72,160 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 3/24, 3/62, 22/72, 66/160

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 3/24, 3/62, 22/72, 66/160?

Answer: LCM of Numerators as per given numbers 3/24, 3/62, 22/72, 66/160 is

LCM of Numerators i.e. for 3,3,22,66 is 66

GCF of denominators i.e. for 24,62,72,160 is 2.

Thus, LCM of Fractions is 33.Finally, LCM of Fractions for 3/24, 3/62, 22/72, 66/160 is 33.