Least Common Multiple of 90/233, 966/65, 217/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/233, 966/65, 217/480 quickly i.e. 449190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/233, 966/65, 217/480 is 449190.

LCM(90/233, 966/65, 217/480) = 449190

LCM of 90/233, 966/65, 217/480

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 90/233,966/65,217/480

Given numbers are 90/233,966/65,217/480

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 90,966,217

Least Common Multiple of Numerators i.e. LCM of 90,966,217 is 449190.

GCF of Denominators means GCF of 233,65,480 as per the given fractions.

GCF of 233,65,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,966,217

LCM of Fractions 90/233,966/65,217/480 is 449190

2 90, 966, 217
3 45, 483, 217
7 15, 161, 217
15, 23, 31

∴ So the LCM of the given numbers is 2 x 3 x 7 x 15 x 23 x 31 = 449190

Least Common Multiple of 90,966,217 with GCF Formula

Least Common Multiple of 90,966,217 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 90,966,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,966,217) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(90,966,217) x common factors =1 x 42 = 42

LCM(90,966,217) = ( 90 × 966 × 217 ) / 42

LCM(90,966,217) = 18865980 / 42

LCM(90,966,217) = 449190


Lets's calculate GCF of 233,65,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449190/1

Therefore the LCM of Fractions 90/233,966/65,217/480 is 449190

Greatest Common Factor of 233,65,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,65,480 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 233,65,480 . The biggest common factor number is the GCF number.
So the greatest common factor 233,65,480 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 90/233, 966/65, 217/480

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 90/233, 966/65, 217/480?

Answer: LCM of Numerators as per given numbers 90/233, 966/65, 217/480 is

LCM of Numerators i.e. for 90,966,217 is 449190

GCF of denominators i.e. for 233,65,480 is 1.

Thus, LCM of Fractions is 449190.Finally, LCM of Fractions for 90/233, 966/65, 217/480 is 449190.