Least Common Multiple of 93/333, 40/214, 864/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/333, 40/214, 864/847 quickly i.e. 133920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/333, 40/214, 864/847 is 133920.

LCM(93/333, 40/214, 864/847) = 133920

LCM of 93/333, 40/214, 864/847

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 93/333,40/214,864/847

Given numbers are 93/333,40/214,864/847

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 93,40,864

Least Common Multiple of Numerators i.e. LCM of 93,40,864 is 133920.

GCF of Denominators means GCF of 333,214,847 as per the given fractions.

GCF of 333,214,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,40,864

LCM of Fractions 93/333,40/214,864/847 is 133920

2 93, 40, 864
2 93, 20, 432
2 93, 10, 216
3 93, 5, 108
31, 5, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 5 x 36 = 133920

Least Common Multiple of 93,40,864 with GCF Formula

Least Common Multiple of 93,40,864 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 93,40,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,40,864) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(93,40,864) x common factors =1 x 24 = 24

LCM(93,40,864) = ( 93 × 40 × 864 ) / 24

LCM(93,40,864) = 3214080 / 24

LCM(93,40,864) = 133920


Lets's calculate GCF of 333,214,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133920/1

Therefore the LCM of Fractions 93/333,40/214,864/847 is 133920

Greatest Common Factor of 333,214,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,214,847 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 333,214,847 . The biggest common factor number is the GCF number.
So the greatest common factor 333,214,847 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 93/333, 40/214, 864/847

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 93/333, 40/214, 864/847?

Answer: LCM of Numerators as per given numbers 93/333, 40/214, 864/847 is

LCM of Numerators i.e. for 93,40,864 is 133920

GCF of denominators i.e. for 333,214,847 is 1.

Thus, LCM of Fractions is 133920.Finally, LCM of Fractions for 93/333, 40/214, 864/847 is 133920.