Least Common Multiple of 314/87, 691/85, 806/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/87, 691/85, 806/820 quickly i.e. 87440522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/87, 691/85, 806/820 is 87440522.

LCM(314/87, 691/85, 806/820) = 87440522

LCM of 314/87, 691/85, 806/820

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 314/87,691/85,806/820

Given numbers are 314/87,691/85,806/820

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 314,691,806

Least Common Multiple of Numerators i.e. LCM of 314,691,806 is 87440522.

GCF of Denominators means GCF of 87,85,820 as per the given fractions.

GCF of 87,85,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,691,806

LCM of Fractions 314/87,691/85,806/820 is 87440522

2 314, 691, 806
157, 691, 403

∴ So the LCM of the given numbers is 2 x 157 x 691 x 403 = 87440522

Least Common Multiple of 314,691,806 with GCF Formula

Least Common Multiple of 314,691,806 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 314,691,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,691,806) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(314,691,806) x common factors =1 x 2 = 2

LCM(314,691,806) = ( 314 × 691 × 806 ) / 2

LCM(314,691,806) = 174881044 / 2

LCM(314,691,806) = 87440522


Lets's calculate GCF of 87,85,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87440522/1

Therefore the LCM of Fractions 314/87,691/85,806/820 is 87440522

Greatest Common Factor of 87,85,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,85,820 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 87,85,820 . The biggest common factor number is the GCF number.
So the greatest common factor 87,85,820 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 314/87, 691/85, 806/820

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 314/87, 691/85, 806/820?

Answer: LCM of Numerators as per given numbers 314/87, 691/85, 806/820 is

LCM of Numerators i.e. for 314,691,806 is 87440522

GCF of denominators i.e. for 87,85,820 is 1.

Thus, LCM of Fractions is 87440522.Finally, LCM of Fractions for 314/87, 691/85, 806/820 is 87440522.