Least Common Multiple of 7986/518, 8689/6510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7986/518, 8689/6510 quickly i.e. 69390354/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7986/518, 8689/6510 is 69390354/14.

LCM(7986/518, 8689/6510) = 69390354/14

LCM of 7986/518, 8689/6510

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 7986/518,8689/6510

Given numbers are 7986/518,8689/6510

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 7986,8689

Least Common Multiple of Numerators i.e. LCM of 7986,8689 is 69390354.

GCF of Denominators means GCF of 518,6510 as per the given fractions.

GCF of 518,6510 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7986,8689

LCM of Fractions 7986/518,8689/6510 is 69390354/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 69390354

Least Common Multiple of 7986,8689 with GCF Formula

Least Common Multiple of 7986,8689 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 7986,8689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7986,8689) = 1

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

GCF(7986,8689) x common factors =1 x 1 = 1

LCM(7986,8689) = ( 7986 × 8689 ) / 1

LCM(7986,8689) = 69390354 / 1

LCM(7986,8689) = 69390354


Lets's calculate GCF of 518,6510

2 518, 6510
7 259, 3255
37, 465

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69390354/14

Therefore the LCM of Fractions 7986/518,8689/6510 is 69390354/14

Greatest Common Factor of 518,6510 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,6510 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510

Greatest Common Factor

We found the factors 518,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 518,6510 is 14.


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 7986/518, 8689/6510

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 7986/518, 8689/6510?

Answer: LCM of Numerators as per given numbers 7986/518, 8689/6510 is

LCM of Numerators i.e. for 7986,8689 is 69390354

GCF of denominators i.e. for 518,6510 is 14.

Thus, LCM of Fractions is 69390354/14.Finally, LCM of Fractions for 7986/518, 8689/6510 is 69390354/14.