Least Common Multiple of 23/34, 65/83, 52/58, 74/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/34, 65/83, 52/58, 74/584 quickly i.e. 221260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/34, 65/83, 52/58, 74/584 is 221260.

LCM(23/34, 65/83, 52/58, 74/584) = 221260

LCM of 23/34, 65/83, 52/58, 74/584

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 23/34,65/83,52/58,74/584

Given numbers are 23/34,65/83,52/58,74/584

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 23,65,52,74

Least Common Multiple of Numerators i.e. LCM of 23,65,52,74 is 221260.

GCF of Denominators means GCF of 34,83,58,584 as per the given fractions.

GCF of 34,83,58,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,65,52,74

LCM of Fractions 23/34,65/83,52/58,74/584 is 221260

2 23, 65, 52, 74
13 23, 65, 26, 37
23, 5, 2, 37

∴ So the LCM of the given numbers is 2 x 13 x 23 x 5 x 2 x 37 = 221260

Least Common Multiple of 23,65,52,74 with GCF Formula

Least Common Multiple of 23,65,52,74 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 23,65,52,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,65,52,74) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(23,65,52,74) x common factors =1 x 26 = 26

LCM(23,65,52,74) = ( 23 × 65 × 52 × 74 ) / 26

LCM(23,65,52,74) = 5752760 / 26

LCM(23,65,52,74) = 221260


Lets's calculate GCF of 34,83,58,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221260/1

Therefore the LCM of Fractions 23/34,65/83,52/58,74/584 is 221260

Greatest Common Factor of 34,83,58,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,83,58,584 By Matching Biggest Common Factor Method

Factors of 34

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

1,2,17,34

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 34,83,58,584 . The biggest common factor number is the GCF number.
So the greatest common factor 34,83,58,584 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 23/34, 65/83, 52/58, 74/584

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 23/34, 65/83, 52/58, 74/584?

Answer: LCM of Numerators as per given numbers 23/34, 65/83, 52/58, 74/584 is

LCM of Numerators i.e. for 23,65,52,74 is 221260

GCF of denominators i.e. for 34,83,58,584 is 1.

Thus, LCM of Fractions is 221260.Finally, LCM of Fractions for 23/34, 65/83, 52/58, 74/584 is 221260.