Least Common Multiple of 55/580, 66/160, 659/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/580, 66/160, 659/290 quickly i.e. 21747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/580, 66/160, 659/290 is 21747.

LCM(55/580, 66/160, 659/290) = 21747

LCM of 55/580, 66/160, 659/290

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 55/580,66/160,659/290

Given numbers are 55/580,66/160,659/290

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 55,66,659

Least Common Multiple of Numerators i.e. LCM of 55,66,659 is 217470.

GCF of Denominators means GCF of 580,160,290 as per the given fractions.

GCF of 580,160,290 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,66,659

LCM of Fractions 55/580,66/160,659/290 is 21747

11 55, 66, 659
5, 6, 659

∴ So the LCM of the given numbers is 11 x 5 x 6 x 659 = 217470

Least Common Multiple of 55,66,659 with GCF Formula

Least Common Multiple of 55,66,659 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 55,66,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,66,659) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,66,659) x common factors =1 x 11 = 11

LCM(55,66,659) = ( 55 × 66 × 659 ) / 11

LCM(55,66,659) = 2392170 / 11

LCM(55,66,659) = 217470


Lets's calculate GCF of 580,160,290

2 580, 160, 290
5 290, 80, 145
58, 16, 29

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217470/10

Therefore the LCM of Fractions 55/580,66/160,659/290 is 21747

Greatest Common Factor of 580,160,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,160,290 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 290

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

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

Greatest Common Factor

We found the factors 580,160,290 . The biggest common factor number is the GCF number.
So the greatest common factor 580,160,290 is 10.


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 55/580, 66/160, 659/290

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 55/580, 66/160, 659/290?

Answer: LCM of Numerators as per given numbers 55/580, 66/160, 659/290 is

LCM of Numerators i.e. for 55,66,659 is 217470

GCF of denominators i.e. for 580,160,290 is 10.

Thus, LCM of Fractions is 21747.Finally, LCM of Fractions for 55/580, 66/160, 659/290 is 21747.