Least Common Multiple of 85/46, 90/40, 72/21, 16/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/46, 90/40, 72/21, 16/293 quickly i.e. 12240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/46, 90/40, 72/21, 16/293 is 12240.

LCM(85/46, 90/40, 72/21, 16/293) = 12240

LCM of 85/46, 90/40, 72/21, 16/293

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 85/46,90/40,72/21,16/293

Given numbers are 85/46,90/40,72/21,16/293

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 85,90,72,16

Least Common Multiple of Numerators i.e. LCM of 85,90,72,16 is 12240.

GCF of Denominators means GCF of 46,40,21,293 as per the given fractions.

GCF of 46,40,21,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,90,72,16

LCM of Fractions 85/46,90/40,72/21,16/293 is 12240

2 85, 90, 72, 16
2 85, 45, 36, 8
2 85, 45, 18, 4
3 85, 45, 9, 2
3 85, 15, 3, 2
5 85, 5, 1, 2
17, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 17 x 1 x 1 x 2 = 12240

Least Common Multiple of 85,90,72,16 with GCF Formula

Least Common Multiple of 85,90,72,16 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 85,90,72,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,90,72,16) = 1

common factors(in case of two or more numbers have common factors) = 720

GCF(85,90,72,16) x common factors =1 x 720 = 720

LCM(85,90,72,16) = ( 85 × 90 × 72 × 16 ) / 720

LCM(85,90,72,16) = 8812800 / 720

LCM(85,90,72,16) = 12240


Lets's calculate GCF of 46,40,21,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12240/1

Therefore the LCM of Fractions 85/46,90/40,72/21,16/293 is 12240

Greatest Common Factor of 46,40,21,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,40,21,293 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 46,40,21,293 . The biggest common factor number is the GCF number.
So the greatest common factor 46,40,21,293 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 85/46, 90/40, 72/21, 16/293

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 85/46, 90/40, 72/21, 16/293?

Answer: LCM of Numerators as per given numbers 85/46, 90/40, 72/21, 16/293 is

LCM of Numerators i.e. for 85,90,72,16 is 12240

GCF of denominators i.e. for 46,40,21,293 is 1.

Thus, LCM of Fractions is 12240.Finally, LCM of Fractions for 85/46, 90/40, 72/21, 16/293 is 12240.