Least Common Multiple of 217/78, 808/6842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/78, 808/6842 quickly i.e. 87668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/78, 808/6842 is 87668.

LCM(217/78, 808/6842) = 87668

LCM of 217/78, 808/6842

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 217/78,808/6842

Given numbers are 217/78,808/6842

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 217,808

Least Common Multiple of Numerators i.e. LCM of 217,808 is 175336.

GCF of Denominators means GCF of 78,6842 as per the given fractions.

GCF of 78,6842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,808

LCM of Fractions 217/78,808/6842 is 87668

Given numbers has no common factors except 1. So, there LCM is their product i.e 175336

Least Common Multiple of 217,808 with GCF Formula

Least Common Multiple of 217,808 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 217,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,808) = 1

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

GCF(217,808) x common factors =1 x 1 = 1

LCM(217,808) = ( 217 × 808 ) / 1

LCM(217,808) = 175336 / 1

LCM(217,808) = 175336


Lets's calculate GCF of 78,6842

2 78, 6842
39, 3421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175336/2

Therefore the LCM of Fractions 217/78,808/6842 is 87668

Greatest Common Factor of 78,6842 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,6842 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1,2,11,22,311,622,3421,6842

Greatest Common Factor

We found the factors 78,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6842 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 217/78, 808/6842

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 217/78, 808/6842?

Answer: LCM of Numerators as per given numbers 217/78, 808/6842 is

LCM of Numerators i.e. for 217,808 is 175336

GCF of denominators i.e. for 78,6842 is 2.

Thus, LCM of Fractions is 87668.Finally, LCM of Fractions for 217/78, 808/6842 is 87668.