Least Common Multiple of 216/85, 806/7314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/85, 806/7314 quickly i.e. 87048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/85, 806/7314 is 87048.

LCM(216/85, 806/7314) = 87048

LCM of 216/85, 806/7314

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 216/85,806/7314

Given numbers are 216/85,806/7314

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 216,806

Least Common Multiple of Numerators i.e. LCM of 216,806 is 87048.

GCF of Denominators means GCF of 85,7314 as per the given fractions.

GCF of 85,7314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,806

LCM of Fractions 216/85,806/7314 is 87048

2 216, 806
108, 403

∴ So the LCM of the given numbers is 2 x 108 x 403 = 87048

Least Common Multiple of 216,806 with GCF Formula

Least Common Multiple of 216,806 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 216,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,806) = 2

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

GCF(216,806) x common factors =2 x 1 = 2

LCM(216,806) = ( 216 × 806 ) / 2

LCM(216,806) = 174096 / 2

LCM(216,806) = 87048


Lets's calculate GCF of 85,7314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87048/1

Therefore the LCM of Fractions 216/85,806/7314 is 87048

Greatest Common Factor of 85,7314 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,7314 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Greatest Common Factor

We found the factors 85,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 85,7314 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 216/85, 806/7314

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 216/85, 806/7314?

Answer: LCM of Numerators as per given numbers 216/85, 806/7314 is

LCM of Numerators i.e. for 216,806 is 87048

GCF of denominators i.e. for 85,7314 is 1.

Thus, LCM of Fractions is 87048.Finally, LCM of Fractions for 216/85, 806/7314 is 87048.