Least Common Multiple of 39/40, 78/34, 90/94, 84/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/40, 78/34, 90/94, 84/68 quickly i.e. 8190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/40, 78/34, 90/94, 84/68 is 8190.

LCM(39/40, 78/34, 90/94, 84/68) = 8190

LCM of 39/40, 78/34, 90/94, 84/68

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 39/40,78/34,90/94,84/68

Given numbers are 39/40,78/34,90/94,84/68

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 39,78,90,84

Least Common Multiple of Numerators i.e. LCM of 39,78,90,84 is 16380.

GCF of Denominators means GCF of 40,34,94,68 as per the given fractions.

GCF of 40,34,94,68 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,78,90,84

LCM of Fractions 39/40,78/34,90/94,84/68 is 8190

2 39, 78, 90, 84
3 39, 39, 45, 42
13 13, 13, 15, 14
1, 1, 15, 14

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 15 x 14 = 16380

Least Common Multiple of 39,78,90,84 with GCF Formula

Least Common Multiple of 39,78,90,84 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 39,78,90,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,78,90,84) = 3

common factors(in case of two or more numbers have common factors) = 468

GCF(39,78,90,84) x common factors =3 x 468 = 1404

LCM(39,78,90,84) = ( 39 × 78 × 90 × 84 ) / 1404

LCM(39,78,90,84) = 22997520 / 1404

LCM(39,78,90,84) = 16380


Lets's calculate GCF of 40,34,94,68

2 40, 34, 94, 68
20, 17, 47, 34

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/2

Therefore the LCM of Fractions 39/40,78/34,90/94,84/68 is 8190

Greatest Common Factor of 40,34,94,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,34,94,68 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 40,34,94,68 . The biggest common factor number is the GCF number.
So the greatest common factor 40,34,94,68 is 2.


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 39/40, 78/34, 90/94, 84/68

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 39/40, 78/34, 90/94, 84/68?

Answer: LCM of Numerators as per given numbers 39/40, 78/34, 90/94, 84/68 is

LCM of Numerators i.e. for 39,78,90,84 is 16380

GCF of denominators i.e. for 40,34,94,68 is 2.

Thus, LCM of Fractions is 8190.Finally, LCM of Fractions for 39/40, 78/34, 90/94, 84/68 is 8190.