Least Common Multiple of 233/68, 225/22, 820/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/68, 225/22, 820/256 quickly i.e. 4298850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/68, 225/22, 820/256 is 4298850.

LCM(233/68, 225/22, 820/256) = 4298850

LCM of 233/68, 225/22, 820/256

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 233/68,225/22,820/256

Given numbers are 233/68,225/22,820/256

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 233,225,820

Least Common Multiple of Numerators i.e. LCM of 233,225,820 is 8597700.

GCF of Denominators means GCF of 68,22,256 as per the given fractions.

GCF of 68,22,256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,225,820

LCM of Fractions 233/68,225/22,820/256 is 4298850

5 233, 225, 820
233, 45, 164

∴ So the LCM of the given numbers is 5 x 233 x 45 x 164 = 8597700

Least Common Multiple of 233,225,820 with GCF Formula

Least Common Multiple of 233,225,820 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 233,225,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,225,820) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(233,225,820) x common factors =1 x 5 = 5

LCM(233,225,820) = ( 233 × 225 × 820 ) / 5

LCM(233,225,820) = 42988500 / 5

LCM(233,225,820) = 8597700


Lets's calculate GCF of 68,22,256

2 68, 22, 256
34, 11, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8597700/2

Therefore the LCM of Fractions 233/68,225/22,820/256 is 4298850

Greatest Common Factor of 68,22,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,22,256 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 68,22,256 . The biggest common factor number is the GCF number.
So the greatest common factor 68,22,256 is 2.


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 233/68, 225/22, 820/256

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 233/68, 225/22, 820/256?

Answer: LCM of Numerators as per given numbers 233/68, 225/22, 820/256 is

LCM of Numerators i.e. for 233,225,820 is 8597700

GCF of denominators i.e. for 68,22,256 is 2.

Thus, LCM of Fractions is 4298850.Finally, LCM of Fractions for 233/68, 225/22, 820/256 is 4298850.