Least Common Multiple of 7682/14, 9086/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7682/14, 9086/520 quickly i.e. 17449663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7682/14, 9086/520 is 17449663.

LCM(7682/14, 9086/520) = 17449663

LCM of 7682/14, 9086/520

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 7682/14,9086/520

Given numbers are 7682/14,9086/520

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 7682,9086

Least Common Multiple of Numerators i.e. LCM of 7682,9086 is 34899326.

GCF of Denominators means GCF of 14,520 as per the given fractions.

GCF of 14,520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7682,9086

LCM of Fractions 7682/14,9086/520 is 17449663

2 7682, 9086
3841, 4543

∴ So the LCM of the given numbers is 2 x 3841 x 4543 = 34899326

Least Common Multiple of 7682,9086 with GCF Formula

Least Common Multiple of 7682,9086 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 7682,9086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7682,9086) = 2

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

GCF(7682,9086) x common factors =2 x 1 = 2

LCM(7682,9086) = ( 7682 × 9086 ) / 2

LCM(7682,9086) = 69798652 / 2

LCM(7682,9086) = 34899326


Lets's calculate GCF of 14,520

2 14, 520
7, 260

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34899326/2

Therefore the LCM of Fractions 7682/14,9086/520 is 17449663

Greatest Common Factor of 14,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,520 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 14,520 . The biggest common factor number is the GCF number.
So the greatest common factor 14,520 is 2.


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 7682/14, 9086/520

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 7682/14, 9086/520?

Answer: LCM of Numerators as per given numbers 7682/14, 9086/520 is

LCM of Numerators i.e. for 7682,9086 is 34899326

GCF of denominators i.e. for 14,520 is 2.

Thus, LCM of Fractions is 17449663.Finally, LCM of Fractions for 7682/14, 9086/520 is 17449663.