Least Common Multiple of 55/418, 830/290, 289/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/418, 830/290, 289/480 quickly i.e. 1319285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/418, 830/290, 289/480 is 1319285.

LCM(55/418, 830/290, 289/480) = 1319285

LCM of 55/418, 830/290, 289/480

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 55/418,830/290,289/480

Given numbers are 55/418,830/290,289/480

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 55,830,289

Least Common Multiple of Numerators i.e. LCM of 55,830,289 is 2638570.

GCF of Denominators means GCF of 418,290,480 as per the given fractions.

GCF of 418,290,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,830,289

LCM of Fractions 55/418,830/290,289/480 is 1319285

5 55, 830, 289
11, 166, 289

∴ So the LCM of the given numbers is 5 x 11 x 166 x 289 = 2638570

Least Common Multiple of 55,830,289 with GCF Formula

Least Common Multiple of 55,830,289 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 55,830,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,830,289) = 1

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

GCF(55,830,289) x common factors =1 x 5 = 5

LCM(55,830,289) = ( 55 × 830 × 289 ) / 5

LCM(55,830,289) = 13192850 / 5

LCM(55,830,289) = 2638570


Lets's calculate GCF of 418,290,480

2 418, 290, 480
209, 145, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2638570/2

Therefore the LCM of Fractions 55/418,830/290,289/480 is 1319285

Greatest Common Factor of 418,290,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,290,480 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

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 418,290,480 . The biggest common factor number is the GCF number.
So the greatest common factor 418,290,480 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 55/418, 830/290, 289/480

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 55/418, 830/290, 289/480?

Answer: LCM of Numerators as per given numbers 55/418, 830/290, 289/480 is

LCM of Numerators i.e. for 55,830,289 is 2638570

GCF of denominators i.e. for 418,290,480 is 2.

Thus, LCM of Fractions is 1319285.Finally, LCM of Fractions for 55/418, 830/290, 289/480 is 1319285.