Least Common Multiple of 69/40, 24/16, 852/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/40, 24/16, 852/21 quickly i.e. 39192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/40, 24/16, 852/21 is 39192.

LCM(69/40, 24/16, 852/21) = 39192

LCM of 69/40, 24/16, 852/21

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 69/40,24/16,852/21

Given numbers are 69/40,24/16,852/21

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 69,24,852

Least Common Multiple of Numerators i.e. LCM of 69,24,852 is 39192.

GCF of Denominators means GCF of 40,16,21 as per the given fractions.

GCF of 40,16,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,24,852

LCM of Fractions 69/40,24/16,852/21 is 39192

2 69, 24, 852
2 69, 12, 426
3 69, 6, 213
23, 2, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 2 x 71 = 39192

Least Common Multiple of 69,24,852 with GCF Formula

Least Common Multiple of 69,24,852 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 69,24,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,24,852) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(69,24,852) x common factors =3 x 12 = 36

LCM(69,24,852) = ( 69 × 24 × 852 ) / 36

LCM(69,24,852) = 1410912 / 36

LCM(69,24,852) = 39192


Lets's calculate GCF of 40,16,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39192/1

Therefore the LCM of Fractions 69/40,24/16,852/21 is 39192

Greatest Common Factor of 40,16,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,16,21 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 40,16,21 . The biggest common factor number is the GCF number.
So the greatest common factor 40,16,21 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 69/40, 24/16, 852/21

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 69/40, 24/16, 852/21?

Answer: LCM of Numerators as per given numbers 69/40, 24/16, 852/21 is

LCM of Numerators i.e. for 69,24,852 is 39192

GCF of denominators i.e. for 40,16,21 is 1.

Thus, LCM of Fractions is 39192.Finally, LCM of Fractions for 69/40, 24/16, 852/21 is 39192.