Least Common Multiple of 26/24, 40/12, 65/34, 61/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/24, 40/12, 65/34, 61/439 quickly i.e. 31720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/24, 40/12, 65/34, 61/439 is 31720.

LCM(26/24, 40/12, 65/34, 61/439) = 31720

LCM of 26/24, 40/12, 65/34, 61/439

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 26/24,40/12,65/34,61/439

Given numbers are 26/24,40/12,65/34,61/439

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 26,40,65,61

Least Common Multiple of Numerators i.e. LCM of 26,40,65,61 is 31720.

GCF of Denominators means GCF of 24,12,34,439 as per the given fractions.

GCF of 24,12,34,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,40,65,61

LCM of Fractions 26/24,40/12,65/34,61/439 is 31720

2 26, 40, 65, 61
5 13, 20, 65, 61
13 13, 4, 13, 61
1, 4, 1, 61

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 4 x 1 x 61 = 31720

Least Common Multiple of 26,40,65,61 with GCF Formula

Least Common Multiple of 26,40,65,61 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 26,40,65,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,40,65,61) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(26,40,65,61) x common factors =1 x 130 = 130

LCM(26,40,65,61) = ( 26 × 40 × 65 × 61 ) / 130

LCM(26,40,65,61) = 4123600 / 130

LCM(26,40,65,61) = 31720


Lets's calculate GCF of 24,12,34,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31720/1

Therefore the LCM of Fractions 26/24,40/12,65/34,61/439 is 31720

Greatest Common Factor of 24,12,34,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,12,34,439 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 34

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

1,2,17,34

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 24,12,34,439 . The biggest common factor number is the GCF number.
So the greatest common factor 24,12,34,439 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 26/24, 40/12, 65/34, 61/439

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 26/24, 40/12, 65/34, 61/439?

Answer: LCM of Numerators as per given numbers 26/24, 40/12, 65/34, 61/439 is

LCM of Numerators i.e. for 26,40,65,61 is 31720

GCF of denominators i.e. for 24,12,34,439 is 1.

Thus, LCM of Fractions is 31720.Finally, LCM of Fractions for 26/24, 40/12, 65/34, 61/439 is 31720.