Least Common Multiple of 46/933, 418/726, 873/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/933, 418/726, 873/663 quickly i.e. 2797674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/933, 418/726, 873/663 is 2797674.

LCM(46/933, 418/726, 873/663) = 2797674

LCM of 46/933, 418/726, 873/663

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 46/933,418/726,873/663

Given numbers are 46/933,418/726,873/663

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 46,418,873

Least Common Multiple of Numerators i.e. LCM of 46,418,873 is 8393022.

GCF of Denominators means GCF of 933,726,663 as per the given fractions.

GCF of 933,726,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,418,873

LCM of Fractions 46/933,418/726,873/663 is 2797674

2 46, 418, 873
23, 209, 873

∴ So the LCM of the given numbers is 2 x 23 x 209 x 873 = 8393022

Least Common Multiple of 46,418,873 with GCF Formula

Least Common Multiple of 46,418,873 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 46,418,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,418,873) = 1

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

GCF(46,418,873) x common factors =1 x 2 = 2

LCM(46,418,873) = ( 46 × 418 × 873 ) / 2

LCM(46,418,873) = 16786044 / 2

LCM(46,418,873) = 8393022


Lets's calculate GCF of 933,726,663

3 933, 726, 663
311, 242, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8393022/3

Therefore the LCM of Fractions 46/933,418/726,873/663 is 2797674

Greatest Common Factor of 933,726,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,726,663 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 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 933,726,663 . The biggest common factor number is the GCF number.
So the greatest common factor 933,726,663 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 46/933, 418/726, 873/663

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 46/933, 418/726, 873/663?

Answer: LCM of Numerators as per given numbers 46/933, 418/726, 873/663 is

LCM of Numerators i.e. for 46,418,873 is 8393022

GCF of denominators i.e. for 933,726,663 is 3.

Thus, LCM of Fractions is 2797674.Finally, LCM of Fractions for 46/933, 418/726, 873/663 is 2797674.