Least Common Multiple of 71/838, 836/401, 718/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/838, 836/401, 718/396 quickly i.e. 21308804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/838, 836/401, 718/396 is 21308804.

LCM(71/838, 836/401, 718/396) = 21308804

LCM of 71/838, 836/401, 718/396

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 71/838,836/401,718/396

Given numbers are 71/838,836/401,718/396

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 71,836,718

Least Common Multiple of Numerators i.e. LCM of 71,836,718 is 21308804.

GCF of Denominators means GCF of 838,401,396 as per the given fractions.

GCF of 838,401,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,836,718

LCM of Fractions 71/838,836/401,718/396 is 21308804

2 71, 836, 718
71, 418, 359

∴ So the LCM of the given numbers is 2 x 71 x 418 x 359 = 21308804

Least Common Multiple of 71,836,718 with GCF Formula

Least Common Multiple of 71,836,718 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 71,836,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,836,718) = 1

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

GCF(71,836,718) x common factors =1 x 2 = 2

LCM(71,836,718) = ( 71 × 836 × 718 ) / 2

LCM(71,836,718) = 42617608 / 2

LCM(71,836,718) = 21308804


Lets's calculate GCF of 838,401,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21308804/1

Therefore the LCM of Fractions 71/838,836/401,718/396 is 21308804

Greatest Common Factor of 838,401,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,401,396 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 838,401,396 . The biggest common factor number is the GCF number.
So the greatest common factor 838,401,396 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 71/838, 836/401, 718/396

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 71/838, 836/401, 718/396?

Answer: LCM of Numerators as per given numbers 71/838, 836/401, 718/396 is

LCM of Numerators i.e. for 71,836,718 is 21308804

GCF of denominators i.e. for 838,401,396 is 1.

Thus, LCM of Fractions is 21308804.Finally, LCM of Fractions for 71/838, 836/401, 718/396 is 21308804.