Least Common Multiple of 68/36, 91/412, 809/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/36, 91/412, 809/202 quickly i.e. 2503046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/36, 91/412, 809/202 is 2503046.

LCM(68/36, 91/412, 809/202) = 2503046

LCM of 68/36, 91/412, 809/202

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 68/36,91/412,809/202

Given numbers are 68/36,91/412,809/202

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 68,91,809

Least Common Multiple of Numerators i.e. LCM of 68,91,809 is 5006092.

GCF of Denominators means GCF of 36,412,202 as per the given fractions.

GCF of 36,412,202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,91,809

LCM of Fractions 68/36,91/412,809/202 is 2503046

Given numbers has no common factors except 1. So, there LCM is their product i.e 5006092

Least Common Multiple of 68,91,809 with GCF Formula

Least Common Multiple of 68,91,809 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 68,91,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,91,809) = 1

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

GCF(68,91,809) x common factors =1 x 1 = 1

LCM(68,91,809) = ( 68 × 91 × 809 ) / 1

LCM(68,91,809) = 5006092 / 1

LCM(68,91,809) = 5006092


Lets's calculate GCF of 36,412,202

2 36, 412, 202
18, 206, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5006092/2

Therefore the LCM of Fractions 68/36,91/412,809/202 is 2503046

Greatest Common Factor of 36,412,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,412,202 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 36,412,202 . The biggest common factor number is the GCF number.
So the greatest common factor 36,412,202 is 2.


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 68/36, 91/412, 809/202

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 68/36, 91/412, 809/202?

Answer: LCM of Numerators as per given numbers 68/36, 91/412, 809/202 is

LCM of Numerators i.e. for 68,91,809 is 5006092

GCF of denominators i.e. for 36,412,202 is 2.

Thus, LCM of Fractions is 2503046.Finally, LCM of Fractions for 68/36, 91/412, 809/202 is 2503046.