Least Common Multiple of 8934/340, 8734/3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8934/340, 8734/3920 quickly i.e. 39014778/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8934/340, 8734/3920 is 39014778/20.

LCM(8934/340, 8734/3920) = 39014778/20

LCM of 8934/340, 8734/3920

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 8934/340,8734/3920

Given numbers are 8934/340,8734/3920

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 8934,8734

Least Common Multiple of Numerators i.e. LCM of 8934,8734 is 39014778.

GCF of Denominators means GCF of 340,3920 as per the given fractions.

GCF of 340,3920 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8934,8734

LCM of Fractions 8934/340,8734/3920 is 39014778/20

2 8934, 8734
4467, 4367

∴ So the LCM of the given numbers is 2 x 4467 x 4367 = 39014778

Least Common Multiple of 8934,8734 with GCF Formula

Least Common Multiple of 8934,8734 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 8934,8734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8934,8734) = 2

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

GCF(8934,8734) x common factors =2 x 1 = 2

LCM(8934,8734) = ( 8934 × 8734 ) / 2

LCM(8934,8734) = 78029556 / 2

LCM(8934,8734) = 39014778


Lets's calculate GCF of 340,3920

2 340, 3920
2 170, 1960
5 85, 980
17, 196

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39014778/20

Therefore the LCM of Fractions 8934/340,8734/3920 is 39014778/20

Greatest Common Factor of 340,3920 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,3920 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Greatest Common Factor

We found the factors 340,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 340,3920 is 20.


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 8934/340, 8734/3920

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 8934/340, 8734/3920?

Answer: LCM of Numerators as per given numbers 8934/340, 8734/3920 is

LCM of Numerators i.e. for 8934,8734 is 39014778

GCF of denominators i.e. for 340,3920 is 20.

Thus, LCM of Fractions is 39014778/20.Finally, LCM of Fractions for 8934/340, 8734/3920 is 39014778/20.