Least Common Multiple of 316/686, 291/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/686, 291/733 quickly i.e. 91956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/686, 291/733 is 91956.

LCM(316/686, 291/733) = 91956

LCM of 316/686, 291/733

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 316/686,291/733

Given numbers are 316/686,291/733

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 316,291

Least Common Multiple of Numerators i.e. LCM of 316,291 is 91956.

GCF of Denominators means GCF of 686,733 as per the given fractions.

GCF of 686,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,291

LCM of Fractions 316/686,291/733 is 91956

Given numbers has no common factors except 1. So, there LCM is their product i.e 91956

Least Common Multiple of 316,291 with GCF Formula

Least Common Multiple of 316,291 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 316,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,291) = 1

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

GCF(316,291) x common factors =1 x 1 = 1

LCM(316,291) = ( 316 × 291 ) / 1

LCM(316,291) = 91956 / 1

LCM(316,291) = 91956


Lets's calculate GCF of 686,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91956/1

Therefore the LCM of Fractions 316/686,291/733 is 91956

Greatest Common Factor of 686,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,733 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 686,733 . The biggest common factor number is the GCF number.
So the greatest common factor 686,733 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 316/686, 291/733

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 316/686, 291/733?

Answer: LCM of Numerators as per given numbers 316/686, 291/733 is

LCM of Numerators i.e. for 316,291 is 91956

GCF of denominators i.e. for 686,733 is 1.

Thus, LCM of Fractions is 91956.Finally, LCM of Fractions for 316/686, 291/733 is 91956.