Least Common Multiple of 816/87, 293/3309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/87, 293/3309 quickly i.e. 79696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/87, 293/3309 is 79696.

LCM(816/87, 293/3309) = 79696

LCM of 816/87, 293/3309

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 816/87,293/3309

Given numbers are 816/87,293/3309

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 816,293

Least Common Multiple of Numerators i.e. LCM of 816,293 is 239088.

GCF of Denominators means GCF of 87,3309 as per the given fractions.

GCF of 87,3309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,293

LCM of Fractions 816/87,293/3309 is 79696

Given numbers has no common factors except 1. So, there LCM is their product i.e 239088

Least Common Multiple of 816,293 with GCF Formula

Least Common Multiple of 816,293 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 816,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,293) = 1

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

GCF(816,293) x common factors =1 x 1 = 1

LCM(816,293) = ( 816 × 293 ) / 1

LCM(816,293) = 239088 / 1

LCM(816,293) = 239088


Lets's calculate GCF of 87,3309

3 87, 3309
29, 1103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239088/3

Therefore the LCM of Fractions 816/87,293/3309 is 79696

Greatest Common Factor of 87,3309 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,3309 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1,3,1103,3309

Greatest Common Factor

We found the factors 87,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 87,3309 is 3.


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 816/87, 293/3309

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 816/87, 293/3309?

Answer: LCM of Numerators as per given numbers 816/87, 293/3309 is

LCM of Numerators i.e. for 816,293 is 239088

GCF of denominators i.e. for 87,3309 is 3.

Thus, LCM of Fractions is 79696.Finally, LCM of Fractions for 816/87, 293/3309 is 79696.