Least Common Multiple of 71/18, 67/89, 22/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/18, 67/89, 22/652 quickly i.e. 104654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/18, 67/89, 22/652 is 104654.

LCM(71/18, 67/89, 22/652) = 104654

LCM of 71/18, 67/89, 22/652

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 71/18,67/89,22/652

Given numbers are 71/18,67/89,22/652

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 71,67,22

Least Common Multiple of Numerators i.e. LCM of 71,67,22 is 104654.

GCF of Denominators means GCF of 18,89,652 as per the given fractions.

GCF of 18,89,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,67,22

LCM of Fractions 71/18,67/89,22/652 is 104654

Given numbers has no common factors except 1. So, there LCM is their product i.e 104654

Least Common Multiple of 71,67,22 with GCF Formula

Least Common Multiple of 71,67,22 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 71,67,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,67,22) = 1

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

GCF(71,67,22) x common factors =1 x 1 = 1

LCM(71,67,22) = ( 71 × 67 × 22 ) / 1

LCM(71,67,22) = 104654 / 1

LCM(71,67,22) = 104654


Lets's calculate GCF of 18,89,652

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104654/1

Therefore the LCM of Fractions 71/18,67/89,22/652 is 104654

Greatest Common Factor of 18,89,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,89,652 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 18,89,652 . The biggest common factor number is the GCF number.
So the greatest common factor 18,89,652 is 1.


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 71/18, 67/89, 22/652

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 71/18, 67/89, 22/652?

Answer: LCM of Numerators as per given numbers 71/18, 67/89, 22/652 is

LCM of Numerators i.e. for 71,67,22 is 104654

GCF of denominators i.e. for 18,89,652 is 1.

Thus, LCM of Fractions is 104654.Finally, LCM of Fractions for 71/18, 67/89, 22/652 is 104654.