Least Common Multiple of 71/69, 36/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/69, 36/12 quickly i.e. 852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/69, 36/12 is 852.

LCM(71/69, 36/12) = 852

LCM of 71/69, 36/12

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 71/69,36/12

Given numbers are 71/69,36/12

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 71,36

Least Common Multiple of Numerators i.e. LCM of 71,36 is 2556.

GCF of Denominators means GCF of 69,12 as per the given fractions.

GCF of 69,12 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,36

LCM of Fractions 71/69,36/12 is 852

Given numbers has no common factors except 1. So, there LCM is their product i.e 2556

Least Common Multiple of 71,36 with GCF Formula

Least Common Multiple of 71,36 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 71,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,36) = 1

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

GCF(71,36) x common factors =1 x 1 = 1

LCM(71,36) = ( 71 × 36 ) / 1

LCM(71,36) = 2556 / 1

LCM(71,36) = 2556


Lets's calculate GCF of 69,12

3 69, 12
23, 4

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2556/3

Therefore the LCM of Fractions 71/69,36/12 is 852

Greatest Common Factor of 69,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,12 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 69,12 . The biggest common factor number is the GCF number.
So the greatest common factor 69,12 is 3.


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 71/69, 36/12

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 71/69, 36/12?

Answer: LCM of Numerators as per given numbers 71/69, 36/12 is

LCM of Numerators i.e. for 71,36 is 2556

GCF of denominators i.e. for 69,12 is 3.

Thus, LCM of Fractions is 852.Finally, LCM of Fractions for 71/69, 36/12 is 852.