Least Common Multiple of 17/401, 311/286, 816/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/401, 311/286, 816/381 quickly i.e. 253776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/401, 311/286, 816/381 is 253776.

LCM(17/401, 311/286, 816/381) = 253776

LCM of 17/401, 311/286, 816/381

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 17/401,311/286,816/381

Given numbers are 17/401,311/286,816/381

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 17,311,816

Least Common Multiple of Numerators i.e. LCM of 17,311,816 is 253776.

GCF of Denominators means GCF of 401,286,381 as per the given fractions.

GCF of 401,286,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,311,816

LCM of Fractions 17/401,311/286,816/381 is 253776

17 17, 311, 816
1, 311, 48

∴ So the LCM of the given numbers is 17 x 1 x 311 x 48 = 253776

Least Common Multiple of 17,311,816 with GCF Formula

Least Common Multiple of 17,311,816 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 17,311,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,311,816) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,311,816) x common factors =1 x 17 = 17

LCM(17,311,816) = ( 17 × 311 × 816 ) / 17

LCM(17,311,816) = 4314192 / 17

LCM(17,311,816) = 253776


Lets's calculate GCF of 401,286,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253776/1

Therefore the LCM of Fractions 17/401,311/286,816/381 is 253776

Greatest Common Factor of 401,286,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,286,381 By Matching Biggest Common Factor Method

Factors of 401

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

1,401

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 401,286,381 . The biggest common factor number is the GCF number.
So the greatest common factor 401,286,381 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 17/401, 311/286, 816/381

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 17/401, 311/286, 816/381?

Answer: LCM of Numerators as per given numbers 17/401, 311/286, 816/381 is

LCM of Numerators i.e. for 17,311,816 is 253776

GCF of denominators i.e. for 401,286,381 is 1.

Thus, LCM of Fractions is 253776.Finally, LCM of Fractions for 17/401, 311/286, 816/381 is 253776.