Least Common Multiple of 78/90, 32/14, 52/39, 71/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/90, 32/14, 52/39, 71/990 quickly i.e. 88608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/90, 32/14, 52/39, 71/990 is 88608.

LCM(78/90, 32/14, 52/39, 71/990) = 88608

LCM of 78/90, 32/14, 52/39, 71/990

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 78/90,32/14,52/39,71/990

Given numbers are 78/90,32/14,52/39,71/990

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 78,32,52,71

Least Common Multiple of Numerators i.e. LCM of 78,32,52,71 is 88608.

GCF of Denominators means GCF of 90,14,39,990 as per the given fractions.

GCF of 90,14,39,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,32,52,71

LCM of Fractions 78/90,32/14,52/39,71/990 is 88608

2 78, 32, 52, 71
2 39, 16, 26, 71
13 39, 8, 13, 71
3, 8, 1, 71

∴ So the LCM of the given numbers is 2 x 2 x 13 x 3 x 8 x 1 x 71 = 88608

Least Common Multiple of 78,32,52,71 with GCF Formula

Least Common Multiple of 78,32,52,71 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 78,32,52,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,32,52,71) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(78,32,52,71) x common factors =1 x 104 = 104

LCM(78,32,52,71) = ( 78 × 32 × 52 × 71 ) / 104

LCM(78,32,52,71) = 9215232 / 104

LCM(78,32,52,71) = 88608


Lets's calculate GCF of 90,14,39,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88608/1

Therefore the LCM of Fractions 78/90,32/14,52/39,71/990 is 88608

Greatest Common Factor of 90,14,39,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,14,39,990 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 39

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

1,3,13,39

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 90,14,39,990 . The biggest common factor number is the GCF number.
So the greatest common factor 90,14,39,990 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 78/90, 32/14, 52/39, 71/990

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 78/90, 32/14, 52/39, 71/990?

Answer: LCM of Numerators as per given numbers 78/90, 32/14, 52/39, 71/990 is

LCM of Numerators i.e. for 78,32,52,71 is 88608

GCF of denominators i.e. for 90,14,39,990 is 1.

Thus, LCM of Fractions is 88608.Finally, LCM of Fractions for 78/90, 32/14, 52/39, 71/990 is 88608.