Least Common Multiple of 38/12, 84/40, 24/37, 68/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/12, 84/40, 24/37, 68/822 quickly i.e. 54264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/12, 84/40, 24/37, 68/822 is 54264.

LCM(38/12, 84/40, 24/37, 68/822) = 54264

LCM of 38/12, 84/40, 24/37, 68/822

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 38/12,84/40,24/37,68/822

Given numbers are 38/12,84/40,24/37,68/822

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 38,84,24,68

Least Common Multiple of Numerators i.e. LCM of 38,84,24,68 is 54264.

GCF of Denominators means GCF of 12,40,37,822 as per the given fractions.

GCF of 12,40,37,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,84,24,68

LCM of Fractions 38/12,84/40,24/37,68/822 is 54264

2 38, 84, 24, 68
2 19, 42, 12, 34
3 19, 21, 6, 17
19, 7, 2, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 7 x 2 x 17 = 54264

Least Common Multiple of 38,84,24,68 with GCF Formula

Least Common Multiple of 38,84,24,68 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 38,84,24,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,84,24,68) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(38,84,24,68) x common factors =2 x 48 = 96

LCM(38,84,24,68) = ( 38 × 84 × 24 × 68 ) / 96

LCM(38,84,24,68) = 5209344 / 96

LCM(38,84,24,68) = 54264


Lets's calculate GCF of 12,40,37,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54264/1

Therefore the LCM of Fractions 38/12,84/40,24/37,68/822 is 54264

Greatest Common Factor of 12,40,37,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,40,37,822 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 12,40,37,822 . The biggest common factor number is the GCF number.
So the greatest common factor 12,40,37,822 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 38/12, 84/40, 24/37, 68/822

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 38/12, 84/40, 24/37, 68/822?

Answer: LCM of Numerators as per given numbers 38/12, 84/40, 24/37, 68/822 is

LCM of Numerators i.e. for 38,84,24,68 is 54264

GCF of denominators i.e. for 12,40,37,822 is 1.

Thus, LCM of Fractions is 54264.Finally, LCM of Fractions for 38/12, 84/40, 24/37, 68/822 is 54264.