Least Common Multiple of 7068/873, 3442/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7068/873, 3442/810 quickly i.e. 12164028/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7068/873, 3442/810 is 12164028/9.

LCM(7068/873, 3442/810) = 12164028/9

LCM of 7068/873, 3442/810

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 7068/873,3442/810

Given numbers are 7068/873,3442/810

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 7068,3442

Least Common Multiple of Numerators i.e. LCM of 7068,3442 is 12164028.

GCF of Denominators means GCF of 873,810 as per the given fractions.

GCF of 873,810 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7068,3442

LCM of Fractions 7068/873,3442/810 is 12164028/9

2 7068, 3442
3534, 1721

∴ So the LCM of the given numbers is 2 x 3534 x 1721 = 12164028

Least Common Multiple of 7068,3442 with GCF Formula

Least Common Multiple of 7068,3442 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 7068,3442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7068,3442) = 2

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

GCF(7068,3442) x common factors =2 x 1 = 2

LCM(7068,3442) = ( 7068 × 3442 ) / 2

LCM(7068,3442) = 24328056 / 2

LCM(7068,3442) = 12164028


Lets's calculate GCF of 873,810

3 873, 810
3 291, 270
97, 90

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12164028/9

Therefore the LCM of Fractions 7068/873,3442/810 is 12164028/9

Greatest Common Factor of 873,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,810 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 873,810 . The biggest common factor number is the GCF number.
So the greatest common factor 873,810 is 9.


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 7068/873, 3442/810

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 7068/873, 3442/810?

Answer: LCM of Numerators as per given numbers 7068/873, 3442/810 is

LCM of Numerators i.e. for 7068,3442 is 12164028

GCF of denominators i.e. for 873,810 is 9.

Thus, LCM of Fractions is 12164028/9.Finally, LCM of Fractions for 7068/873, 3442/810 is 12164028/9.