Least Common Multiple of 31/933, 34/687, 417/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/933, 34/687, 417/999 quickly i.e. 146506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/933, 34/687, 417/999 is 146506.

LCM(31/933, 34/687, 417/999) = 146506

LCM of 31/933, 34/687, 417/999

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 31/933,34/687,417/999

Given numbers are 31/933,34/687,417/999

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 31,34,417

Least Common Multiple of Numerators i.e. LCM of 31,34,417 is 439518.

GCF of Denominators means GCF of 933,687,999 as per the given fractions.

GCF of 933,687,999 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,34,417

LCM of Fractions 31/933,34/687,417/999 is 146506

Given numbers has no common factors except 1. So, there LCM is their product i.e 439518

Least Common Multiple of 31,34,417 with GCF Formula

Least Common Multiple of 31,34,417 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 31,34,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,34,417) = 1

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

GCF(31,34,417) x common factors =1 x 1 = 1

LCM(31,34,417) = ( 31 × 34 × 417 ) / 1

LCM(31,34,417) = 439518 / 1

LCM(31,34,417) = 439518


Lets's calculate GCF of 933,687,999

3 933, 687, 999
311, 229, 333

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439518/3

Therefore the LCM of Fractions 31/933,34/687,417/999 is 146506

Greatest Common Factor of 933,687,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,687,999 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 933,687,999 . The biggest common factor number is the GCF number.
So the greatest common factor 933,687,999 is 3.


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 31/933, 34/687, 417/999

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 31/933, 34/687, 417/999?

Answer: LCM of Numerators as per given numbers 31/933, 34/687, 417/999 is

LCM of Numerators i.e. for 31,34,417 is 439518

GCF of denominators i.e. for 933,687,999 is 3.

Thus, LCM of Fractions is 146506.Finally, LCM of Fractions for 31/933, 34/687, 417/999 is 146506.