Least Common Multiple of 84/38, 40/61, 42/39, 73/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/38, 40/61, 42/39, 73/812 quickly i.e. 61320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/38, 40/61, 42/39, 73/812 is 61320.

LCM(84/38, 40/61, 42/39, 73/812) = 61320

LCM of 84/38, 40/61, 42/39, 73/812

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 84/38,40/61,42/39,73/812

Given numbers are 84/38,40/61,42/39,73/812

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 84,40,42,73

Least Common Multiple of Numerators i.e. LCM of 84,40,42,73 is 61320.

GCF of Denominators means GCF of 38,61,39,812 as per the given fractions.

GCF of 38,61,39,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,40,42,73

LCM of Fractions 84/38,40/61,42/39,73/812 is 61320

2 84, 40, 42, 73
2 42, 20, 21, 73
3 21, 10, 21, 73
7 7, 10, 7, 73
1, 10, 1, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 10 x 1 x 73 = 61320

Least Common Multiple of 84,40,42,73 with GCF Formula

Least Common Multiple of 84,40,42,73 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 84,40,42,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,40,42,73) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(84,40,42,73) x common factors =1 x 168 = 168

LCM(84,40,42,73) = ( 84 × 40 × 42 × 73 ) / 168

LCM(84,40,42,73) = 10301760 / 168

LCM(84,40,42,73) = 61320


Lets's calculate GCF of 38,61,39,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61320/1

Therefore the LCM of Fractions 84/38,40/61,42/39,73/812 is 61320

Greatest Common Factor of 38,61,39,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,61,39,812 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 38,61,39,812 . The biggest common factor number is the GCF number.
So the greatest common factor 38,61,39,812 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 84/38, 40/61, 42/39, 73/812

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 84/38, 40/61, 42/39, 73/812?

Answer: LCM of Numerators as per given numbers 84/38, 40/61, 42/39, 73/812 is

LCM of Numerators i.e. for 84,40,42,73 is 61320

GCF of denominators i.e. for 38,61,39,812 is 1.

Thus, LCM of Fractions is 61320.Finally, LCM of Fractions for 84/38, 40/61, 42/39, 73/812 is 61320.