Least Common Multiple of 806/315, 826/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 806/315, 826/295 quickly i.e. 332878/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/315, 826/295 is 332878/5.

LCM(806/315, 826/295) = 332878/5

LCM of 806/315, 826/295

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 806/315,826/295

Given numbers are 806/315,826/295

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 806,826

Least Common Multiple of Numerators i.e. LCM of 806,826 is 332878.

GCF of Denominators means GCF of 315,295 as per the given fractions.

GCF of 315,295 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,826

LCM of Fractions 806/315,826/295 is 332878/5

2 806, 826
403, 413

∴ So the LCM of the given numbers is 2 x 403 x 413 = 332878

Least Common Multiple of 806,826 with GCF Formula

Least Common Multiple of 806,826 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 806,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,826) = 2

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

GCF(806,826) x common factors =2 x 1 = 2

LCM(806,826) = ( 806 × 826 ) / 2

LCM(806,826) = 665756 / 2

LCM(806,826) = 332878


Lets's calculate GCF of 315,295

5 315, 295
63, 59

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332878/5

Therefore the LCM of Fractions 806/315,826/295 is 332878/5

Greatest Common Factor of 315,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,295 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 315,295 . The biggest common factor number is the GCF number.
So the greatest common factor 315,295 is 5.


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 806/315, 826/295

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 806/315, 826/295?

Answer: LCM of Numerators as per given numbers 806/315, 826/295 is

LCM of Numerators i.e. for 806,826 is 332878

GCF of denominators i.e. for 315,295 is 5.

Thus, LCM of Fractions is 332878/5.Finally, LCM of Fractions for 806/315, 826/295 is 332878/5.