Least Common Multiple of 686/819, 8052/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/819, 8052/680 quickly i.e. 2761836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/819, 8052/680 is 2761836.

LCM(686/819, 8052/680) = 2761836

LCM of 686/819, 8052/680

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 686/819,8052/680

Given numbers are 686/819,8052/680

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 686,8052

Least Common Multiple of Numerators i.e. LCM of 686,8052 is 2761836.

GCF of Denominators means GCF of 819,680 as per the given fractions.

GCF of 819,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,8052

LCM of Fractions 686/819,8052/680 is 2761836

2 686, 8052
343, 4026

∴ So the LCM of the given numbers is 2 x 343 x 4026 = 2761836

Least Common Multiple of 686,8052 with GCF Formula

Least Common Multiple of 686,8052 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 686,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,8052) = 2

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

GCF(686,8052) x common factors =2 x 1 = 2

LCM(686,8052) = ( 686 × 8052 ) / 2

LCM(686,8052) = 5523672 / 2

LCM(686,8052) = 2761836


Lets's calculate GCF of 819,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2761836/1

Therefore the LCM of Fractions 686/819,8052/680 is 2761836

Greatest Common Factor of 819,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,680 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 819,680 . The biggest common factor number is the GCF number.
So the greatest common factor 819,680 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 686/819, 8052/680

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 686/819, 8052/680?

Answer: LCM of Numerators as per given numbers 686/819, 8052/680 is

LCM of Numerators i.e. for 686,8052 is 2761836

GCF of denominators i.e. for 819,680 is 1.

Thus, LCM of Fractions is 2761836.Finally, LCM of Fractions for 686/819, 8052/680 is 2761836.