Least Common Multiple of 65/13, 910/29, 259/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/13, 910/29, 259/401 quickly i.e. 33670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/13, 910/29, 259/401 is 33670.

LCM(65/13, 910/29, 259/401) = 33670

LCM of 65/13, 910/29, 259/401

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 65/13,910/29,259/401

Given numbers are 65/13,910/29,259/401

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 65,910,259

Least Common Multiple of Numerators i.e. LCM of 65,910,259 is 33670.

GCF of Denominators means GCF of 13,29,401 as per the given fractions.

GCF of 13,29,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,910,259

LCM of Fractions 65/13,910/29,259/401 is 33670

5 65, 910, 259
7 13, 182, 259
13 13, 26, 37
1, 2, 37

∴ So the LCM of the given numbers is 5 x 7 x 13 x 1 x 2 x 37 = 33670

Least Common Multiple of 65,910,259 with GCF Formula

Least Common Multiple of 65,910,259 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 65,910,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,910,259) = 1

common factors(in case of two or more numbers have common factors) = 455

GCF(65,910,259) x common factors =1 x 455 = 455

LCM(65,910,259) = ( 65 × 910 × 259 ) / 455

LCM(65,910,259) = 15319850 / 455

LCM(65,910,259) = 33670


Lets's calculate GCF of 13,29,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33670/1

Therefore the LCM of Fractions 65/13,910/29,259/401 is 33670

Greatest Common Factor of 13,29,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,29,401 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 13,29,401 . The biggest common factor number is the GCF number.
So the greatest common factor 13,29,401 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 65/13, 910/29, 259/401

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 65/13, 910/29, 259/401?

Answer: LCM of Numerators as per given numbers 65/13, 910/29, 259/401 is

LCM of Numerators i.e. for 65,910,259 is 33670

GCF of denominators i.e. for 13,29,401 is 1.

Thus, LCM of Fractions is 33670.Finally, LCM of Fractions for 65/13, 910/29, 259/401 is 33670.