Least Common Multiple of 794/216, 706/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/216, 706/314 quickly i.e. 140141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/216, 706/314 is 140141.

LCM(794/216, 706/314) = 140141

LCM of 794/216, 706/314

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 794/216,706/314

Given numbers are 794/216,706/314

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 794,706

Least Common Multiple of Numerators i.e. LCM of 794,706 is 280282.

GCF of Denominators means GCF of 216,314 as per the given fractions.

GCF of 216,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,706

LCM of Fractions 794/216,706/314 is 140141

2 794, 706
397, 353

∴ So the LCM of the given numbers is 2 x 397 x 353 = 280282

Least Common Multiple of 794,706 with GCF Formula

Least Common Multiple of 794,706 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 794,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,706) = 2

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

GCF(794,706) x common factors =2 x 1 = 2

LCM(794,706) = ( 794 × 706 ) / 2

LCM(794,706) = 560564 / 2

LCM(794,706) = 280282


Lets's calculate GCF of 216,314

2 216, 314
108, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280282/2

Therefore the LCM of Fractions 794/216,706/314 is 140141

Greatest Common Factor of 216,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,314 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 216,314 . The biggest common factor number is the GCF number.
So the greatest common factor 216,314 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 794/216, 706/314

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 794/216, 706/314?

Answer: LCM of Numerators as per given numbers 794/216, 706/314 is

LCM of Numerators i.e. for 794,706 is 280282

GCF of denominators i.e. for 216,314 is 2.

Thus, LCM of Fractions is 140141.Finally, LCM of Fractions for 794/216, 706/314 is 140141.