Least Common Multiple of 233/848, 969/736, 918/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/848, 969/736, 918/240 quickly i.e. 4063986/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/848, 969/736, 918/240 is 4063986/16.

LCM(233/848, 969/736, 918/240) = 4063986/16

LCM of 233/848, 969/736, 918/240

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 233/848,969/736,918/240

Given numbers are 233/848,969/736,918/240

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 233,969,918

Least Common Multiple of Numerators i.e. LCM of 233,969,918 is 4063986.

GCF of Denominators means GCF of 848,736,240 as per the given fractions.

GCF of 848,736,240 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,969,918

LCM of Fractions 233/848,969/736,918/240 is 4063986/16

3 233, 969, 918
17 233, 323, 306
233, 19, 18

∴ So the LCM of the given numbers is 3 x 17 x 233 x 19 x 18 = 4063986

Least Common Multiple of 233,969,918 with GCF Formula

Least Common Multiple of 233,969,918 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 233,969,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,969,918) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(233,969,918) x common factors =1 x 51 = 51

LCM(233,969,918) = ( 233 × 969 × 918 ) / 51

LCM(233,969,918) = 207263286 / 51

LCM(233,969,918) = 4063986


Lets's calculate GCF of 848,736,240

2 848, 736, 240
2 424, 368, 120
2 212, 184, 60
2 106, 92, 30
53, 46, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4063986/16

Therefore the LCM of Fractions 233/848,969/736,918/240 is 4063986/16

Greatest Common Factor of 848,736,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,736,240 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 848,736,240 . The biggest common factor number is the GCF number.
So the greatest common factor 848,736,240 is 16.


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 233/848, 969/736, 918/240

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 233/848, 969/736, 918/240?

Answer: LCM of Numerators as per given numbers 233/848, 969/736, 918/240 is

LCM of Numerators i.e. for 233,969,918 is 4063986

GCF of denominators i.e. for 848,736,240 is 16.

Thus, LCM of Fractions is 4063986/16.Finally, LCM of Fractions for 233/848, 969/736, 918/240 is 4063986/16.