Least Common Multiple of 686/794, 594/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 686/794, 594/276 quickly i.e. 101871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/794, 594/276 is 101871.

LCM(686/794, 594/276) = 101871

LCM of 686/794, 594/276

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 686/794,594/276

Given numbers are 686/794,594/276

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 686,594

Least Common Multiple of Numerators i.e. LCM of 686,594 is 203742.

GCF of Denominators means GCF of 794,276 as per the given fractions.

GCF of 794,276 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,594

LCM of Fractions 686/794,594/276 is 101871

2 686, 594
343, 297

∴ So the LCM of the given numbers is 2 x 343 x 297 = 203742

Least Common Multiple of 686,594 with GCF Formula

Least Common Multiple of 686,594 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 686,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,594) = 2

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

GCF(686,594) x common factors =2 x 1 = 2

LCM(686,594) = ( 686 × 594 ) / 2

LCM(686,594) = 407484 / 2

LCM(686,594) = 203742


Lets's calculate GCF of 794,276

2 794, 276
397, 138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203742/2

Therefore the LCM of Fractions 686/794,594/276 is 101871

Greatest Common Factor of 794,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,276 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 794,276 . The biggest common factor number is the GCF number.
So the greatest common factor 794,276 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 686/794, 594/276

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 686/794, 594/276?

Answer: LCM of Numerators as per given numbers 686/794, 594/276 is

LCM of Numerators i.e. for 686,594 is 203742

GCF of denominators i.e. for 794,276 is 2.

Thus, LCM of Fractions is 101871.Finally, LCM of Fractions for 686/794, 594/276 is 101871.