Least Common Multiple of 323/91, 615/35, 697/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/91, 615/35, 697/86 quickly i.e. 198645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/91, 615/35, 697/86 is 198645.

LCM(323/91, 615/35, 697/86) = 198645

LCM of 323/91, 615/35, 697/86

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 323/91,615/35,697/86

Given numbers are 323/91,615/35,697/86

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 323,615,697

Least Common Multiple of Numerators i.e. LCM of 323,615,697 is 198645.

GCF of Denominators means GCF of 91,35,86 as per the given fractions.

GCF of 91,35,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,615,697

LCM of Fractions 323/91,615/35,697/86 is 198645

17 323, 615, 697
41 19, 615, 41
19, 15, 1

∴ So the LCM of the given numbers is 17 x 41 x 19 x 15 x 1 = 198645

Least Common Multiple of 323,615,697 with GCF Formula

Least Common Multiple of 323,615,697 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 323,615,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,615,697) = 1

common factors(in case of two or more numbers have common factors) = 697

GCF(323,615,697) x common factors =1 x 697 = 697

LCM(323,615,697) = ( 323 × 615 × 697 ) / 697

LCM(323,615,697) = 138455565 / 697

LCM(323,615,697) = 198645


Lets's calculate GCF of 91,35,86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198645/1

Therefore the LCM of Fractions 323/91,615/35,697/86 is 198645

Greatest Common Factor of 91,35,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,35,86 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 91,35,86 . The biggest common factor number is the GCF number.
So the greatest common factor 91,35,86 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 323/91, 615/35, 697/86

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 323/91, 615/35, 697/86?

Answer: LCM of Numerators as per given numbers 323/91, 615/35, 697/86 is

LCM of Numerators i.e. for 323,615,697 is 198645

GCF of denominators i.e. for 91,35,86 is 1.

Thus, LCM of Fractions is 198645.Finally, LCM of Fractions for 323/91, 615/35, 697/86 is 198645.