Least Common Multiple of 340/835, 9340/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/835, 9340/260 quickly i.e. 31756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/835, 9340/260 is 31756.

LCM(340/835, 9340/260) = 31756

LCM of 340/835, 9340/260

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 340/835,9340/260

Given numbers are 340/835,9340/260

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 340,9340

Least Common Multiple of Numerators i.e. LCM of 340,9340 is 158780.

GCF of Denominators means GCF of 835,260 as per the given fractions.

GCF of 835,260 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,9340

LCM of Fractions 340/835,9340/260 is 31756

2 340, 9340
2 170, 4670
5 85, 2335
17, 467

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 467 = 158780

Least Common Multiple of 340,9340 with GCF Formula

Least Common Multiple of 340,9340 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 340,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,9340) = 20

common factors(in case of two or more numbers have common factors) = 1

GCF(340,9340) x common factors =20 x 1 = 20

LCM(340,9340) = ( 340 × 9340 ) / 20

LCM(340,9340) = 3175600 / 20

LCM(340,9340) = 158780


Lets's calculate GCF of 835,260

5 835, 260
167, 52

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158780/5

Therefore the LCM of Fractions 340/835,9340/260 is 31756

Greatest Common Factor of 835,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,260 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 835,260 . The biggest common factor number is the GCF number.
So the greatest common factor 835,260 is 5.


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 340/835, 9340/260

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 340/835, 9340/260?

Answer: LCM of Numerators as per given numbers 340/835, 9340/260 is

LCM of Numerators i.e. for 340,9340 is 158780

GCF of denominators i.e. for 835,260 is 5.

Thus, LCM of Fractions is 31756.Finally, LCM of Fractions for 340/835, 9340/260 is 31756.