Least Common Multiple of 516/769, 3560/8143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/769, 3560/8143 quickly i.e. 459240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/769, 3560/8143 is 459240.

LCM(516/769, 3560/8143) = 459240

LCM of 516/769, 3560/8143

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 516/769,3560/8143

Given numbers are 516/769,3560/8143

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 516,3560

Least Common Multiple of Numerators i.e. LCM of 516,3560 is 459240.

GCF of Denominators means GCF of 769,8143 as per the given fractions.

GCF of 769,8143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,3560

LCM of Fractions 516/769,3560/8143 is 459240

2 516, 3560
2 258, 1780
129, 890

∴ So the LCM of the given numbers is 2 x 2 x 129 x 890 = 459240

Least Common Multiple of 516,3560 with GCF Formula

Least Common Multiple of 516,3560 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 516,3560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,3560) = 4

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

GCF(516,3560) x common factors =4 x 1 = 4

LCM(516,3560) = ( 516 × 3560 ) / 4

LCM(516,3560) = 1836960 / 4

LCM(516,3560) = 459240


Lets's calculate GCF of 769,8143

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459240/1

Therefore the LCM of Fractions 516/769,3560/8143 is 459240

Greatest Common Factor of 769,8143 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,8143 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 8143

List of positive integer factors of 8143 that divides 8143 without a remainder.

1,17,479,8143

Greatest Common Factor

We found the factors 769,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 769,8143 is 1.


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 516/769, 3560/8143

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 516/769, 3560/8143?

Answer: LCM of Numerators as per given numbers 516/769, 3560/8143 is

LCM of Numerators i.e. for 516,3560 is 459240

GCF of denominators i.e. for 769,8143 is 1.

Thus, LCM of Fractions is 459240.Finally, LCM of Fractions for 516/769, 3560/8143 is 459240.