Least Common Multiple of 3/85, 9/73, 2/84, 23/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/85, 9/73, 2/84, 23/590 quickly i.e. 414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/85, 9/73, 2/84, 23/590 is 414.

LCM(3/85, 9/73, 2/84, 23/590) = 414

LCM of 3/85, 9/73, 2/84, 23/590

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 3/85,9/73,2/84,23/590

Given numbers are 3/85,9/73,2/84,23/590

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 3,9,2,23

Least Common Multiple of Numerators i.e. LCM of 3,9,2,23 is 414.

GCF of Denominators means GCF of 85,73,84,590 as per the given fractions.

GCF of 85,73,84,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,2,23

LCM of Fractions 3/85,9/73,2/84,23/590 is 414

3 3, 9, 2, 23
1, 3, 2, 23

∴ So the LCM of the given numbers is 3 x 1 x 3 x 2 x 23 = 414

Least Common Multiple of 3,9,2,23 with GCF Formula

Least Common Multiple of 3,9,2,23 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 3,9,2,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,2,23) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,9,2,23) x common factors =1 x 3 = 3

LCM(3,9,2,23) = ( 3 × 9 × 2 × 23 ) / 3

LCM(3,9,2,23) = 1242 / 3

LCM(3,9,2,23) = 414


Lets's calculate GCF of 85,73,84,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414/1

Therefore the LCM of Fractions 3/85,9/73,2/84,23/590 is 414

Greatest Common Factor of 85,73,84,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,73,84,590 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 85,73,84,590 . The biggest common factor number is the GCF number.
So the greatest common factor 85,73,84,590 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 3/85, 9/73, 2/84, 23/590

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 3/85, 9/73, 2/84, 23/590?

Answer: LCM of Numerators as per given numbers 3/85, 9/73, 2/84, 23/590 is

LCM of Numerators i.e. for 3,9,2,23 is 414

GCF of denominators i.e. for 85,73,84,590 is 1.

Thus, LCM of Fractions is 414.Finally, LCM of Fractions for 3/85, 9/73, 2/84, 23/590 is 414.