Least Common Multiple of 90/65, 16/94, 39/36, 20/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/65, 16/94, 39/36, 20/690 quickly i.e. 9360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/65, 16/94, 39/36, 20/690 is 9360.

LCM(90/65, 16/94, 39/36, 20/690) = 9360

LCM of 90/65, 16/94, 39/36, 20/690

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 90/65,16/94,39/36,20/690

Given numbers are 90/65,16/94,39/36,20/690

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 90,16,39,20

Least Common Multiple of Numerators i.e. LCM of 90,16,39,20 is 9360.

GCF of Denominators means GCF of 65,94,36,690 as per the given fractions.

GCF of 65,94,36,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,16,39,20

LCM of Fractions 90/65,16/94,39/36,20/690 is 9360

2 90, 16, 39, 20
2 45, 8, 39, 10
3 45, 4, 39, 5
5 15, 4, 13, 5
3, 4, 13, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 4 x 13 x 1 = 9360

Least Common Multiple of 90,16,39,20 with GCF Formula

Least Common Multiple of 90,16,39,20 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 90,16,39,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,16,39,20) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(90,16,39,20) x common factors =1 x 120 = 120

LCM(90,16,39,20) = ( 90 × 16 × 39 × 20 ) / 120

LCM(90,16,39,20) = 1123200 / 120

LCM(90,16,39,20) = 9360


Lets's calculate GCF of 65,94,36,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/1

Therefore the LCM of Fractions 90/65,16/94,39/36,20/690 is 9360

Greatest Common Factor of 65,94,36,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,94,36,690 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 94

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

1,2,47,94

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 65,94,36,690 . The biggest common factor number is the GCF number.
So the greatest common factor 65,94,36,690 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 90/65, 16/94, 39/36, 20/690

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 90/65, 16/94, 39/36, 20/690?

Answer: LCM of Numerators as per given numbers 90/65, 16/94, 39/36, 20/690 is

LCM of Numerators i.e. for 90,16,39,20 is 9360

GCF of denominators i.e. for 65,94,36,690 is 1.

Thus, LCM of Fractions is 9360.Finally, LCM of Fractions for 90/65, 16/94, 39/36, 20/690 is 9360.