Least Common Multiple of 398/815, 401/607, 676/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/815, 401/607, 676/806 quickly i.e. 53944124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/815, 401/607, 676/806 is 53944124.

LCM(398/815, 401/607, 676/806) = 53944124

LCM of 398/815, 401/607, 676/806

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 398/815,401/607,676/806

Given numbers are 398/815,401/607,676/806

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 398,401,676

Least Common Multiple of Numerators i.e. LCM of 398,401,676 is 53944124.

GCF of Denominators means GCF of 815,607,806 as per the given fractions.

GCF of 815,607,806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,401,676

LCM of Fractions 398/815,401/607,676/806 is 53944124

2 398, 401, 676
199, 401, 338

∴ So the LCM of the given numbers is 2 x 199 x 401 x 338 = 53944124

Least Common Multiple of 398,401,676 with GCF Formula

Least Common Multiple of 398,401,676 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 398,401,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,401,676) = 1

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

GCF(398,401,676) x common factors =1 x 2 = 2

LCM(398,401,676) = ( 398 × 401 × 676 ) / 2

LCM(398,401,676) = 107888248 / 2

LCM(398,401,676) = 53944124


Lets's calculate GCF of 815,607,806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53944124/1

Therefore the LCM of Fractions 398/815,401/607,676/806 is 53944124

Greatest Common Factor of 815,607,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,607,806 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 815,607,806 . The biggest common factor number is the GCF number.
So the greatest common factor 815,607,806 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 398/815, 401/607, 676/806

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 398/815, 401/607, 676/806?

Answer: LCM of Numerators as per given numbers 398/815, 401/607, 676/806 is

LCM of Numerators i.e. for 398,401,676 is 53944124

GCF of denominators i.e. for 815,607,806 is 1.

Thus, LCM of Fractions is 53944124.Finally, LCM of Fractions for 398/815, 401/607, 676/806 is 53944124.