Least Common Multiple of 311/89, 315/65, 686/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/89, 315/65, 686/685 quickly i.e. 9600570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/89, 315/65, 686/685 is 9600570.

LCM(311/89, 315/65, 686/685) = 9600570

LCM of 311/89, 315/65, 686/685

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 311/89,315/65,686/685

Given numbers are 311/89,315/65,686/685

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 311,315,686

Least Common Multiple of Numerators i.e. LCM of 311,315,686 is 9600570.

GCF of Denominators means GCF of 89,65,685 as per the given fractions.

GCF of 89,65,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,315,686

LCM of Fractions 311/89,315/65,686/685 is 9600570

7 311, 315, 686
311, 45, 98

∴ So the LCM of the given numbers is 7 x 311 x 45 x 98 = 9600570

Least Common Multiple of 311,315,686 with GCF Formula

Least Common Multiple of 311,315,686 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 311,315,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,315,686) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(311,315,686) x common factors =1 x 7 = 7

LCM(311,315,686) = ( 311 × 315 × 686 ) / 7

LCM(311,315,686) = 67203990 / 7

LCM(311,315,686) = 9600570


Lets's calculate GCF of 89,65,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9600570/1

Therefore the LCM of Fractions 311/89,315/65,686/685 is 9600570

Greatest Common Factor of 89,65,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,65,685 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 89,65,685 . The biggest common factor number is the GCF number.
So the greatest common factor 89,65,685 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 311/89, 315/65, 686/685

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 311/89, 315/65, 686/685?

Answer: LCM of Numerators as per given numbers 311/89, 315/65, 686/685 is

LCM of Numerators i.e. for 311,315,686 is 9600570

GCF of denominators i.e. for 89,65,685 is 1.

Thus, LCM of Fractions is 9600570.Finally, LCM of Fractions for 311/89, 315/65, 686/685 is 9600570.