Least Common Multiple of 580/90, 160/55, 667/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/90, 160/55, 667/74 quickly i.e. 106720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/90, 160/55, 667/74 is 106720.

LCM(580/90, 160/55, 667/74) = 106720

LCM of 580/90, 160/55, 667/74

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 580/90,160/55,667/74

Given numbers are 580/90,160/55,667/74

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 580,160,667

Least Common Multiple of Numerators i.e. LCM of 580,160,667 is 106720.

GCF of Denominators means GCF of 90,55,74 as per the given fractions.

GCF of 90,55,74 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,160,667

LCM of Fractions 580/90,160/55,667/74 is 106720

2 580, 160, 667
2 290, 80, 667
5 145, 40, 667
29 29, 8, 667
1, 8, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 29 x 1 x 8 x 23 = 106720

Least Common Multiple of 580,160,667 with GCF Formula

Least Common Multiple of 580,160,667 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 580,160,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,160,667) = 1

common factors(in case of two or more numbers have common factors) = 580

GCF(580,160,667) x common factors =1 x 580 = 580

LCM(580,160,667) = ( 580 × 160 × 667 ) / 580

LCM(580,160,667) = 61897600 / 580

LCM(580,160,667) = 106720


Lets's calculate GCF of 90,55,74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106720/1

Therefore the LCM of Fractions 580/90,160/55,667/74 is 106720

Greatest Common Factor of 90,55,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,55,74 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 90,55,74 . The biggest common factor number is the GCF number.
So the greatest common factor 90,55,74 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 580/90, 160/55, 667/74

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 580/90, 160/55, 667/74?

Answer: LCM of Numerators as per given numbers 580/90, 160/55, 667/74 is

LCM of Numerators i.e. for 580,160,667 is 106720

GCF of denominators i.e. for 90,55,74 is 1.

Thus, LCM of Fractions is 106720.Finally, LCM of Fractions for 580/90, 160/55, 667/74 is 106720.