Least Common Multiple of 520/518, 8132/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 520/518, 8132/704 quickly i.e. 528580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/518, 8132/704 is 528580.

LCM(520/518, 8132/704) = 528580

LCM of 520/518, 8132/704

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 520/518,8132/704

Given numbers are 520/518,8132/704

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 520,8132

Least Common Multiple of Numerators i.e. LCM of 520,8132 is 1057160.

GCF of Denominators means GCF of 518,704 as per the given fractions.

GCF of 518,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,8132

LCM of Fractions 520/518,8132/704 is 528580

2 520, 8132
2 260, 4066
130, 2033

∴ So the LCM of the given numbers is 2 x 2 x 130 x 2033 = 1057160

Least Common Multiple of 520,8132 with GCF Formula

Least Common Multiple of 520,8132 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 520,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,8132) = 4

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

GCF(520,8132) x common factors =4 x 1 = 4

LCM(520,8132) = ( 520 × 8132 ) / 4

LCM(520,8132) = 4228640 / 4

LCM(520,8132) = 1057160


Lets's calculate GCF of 518,704

2 518, 704
259, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1057160/2

Therefore the LCM of Fractions 520/518,8132/704 is 528580

Greatest Common Factor of 518,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,704 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 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 518,704 . The biggest common factor number is the GCF number.
So the greatest common factor 518,704 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 520/518, 8132/704

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 520/518, 8132/704?

Answer: LCM of Numerators as per given numbers 520/518, 8132/704 is

LCM of Numerators i.e. for 520,8132 is 1057160

GCF of denominators i.e. for 518,704 is 2.

Thus, LCM of Fractions is 528580.Finally, LCM of Fractions for 520/518, 8132/704 is 528580.