Least Common Multiple of 55/580, 97/481, 679/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/580, 97/481, 679/917 quickly i.e. 37345 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, 97/481, 679/917 is 37345.

LCM(55/580, 97/481, 679/917) = 37345

LCM of 55/580, 97/481, 679/917

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 55/580,97/481,679/917

Given numbers are 55/580,97/481,679/917

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 55,97,679

Least Common Multiple of Numerators i.e. LCM of 55,97,679 is 37345.

GCF of Denominators means GCF of 580,481,917 as per the given fractions.

GCF of 580,481,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,97,679

LCM of Fractions 55/580,97/481,679/917 is 37345

97 55, 97, 679
55, 1, 7

∴ So the LCM of the given numbers is 97 x 55 x 1 x 7 = 37345

Least Common Multiple of 55,97,679 with GCF Formula

Least Common Multiple of 55,97,679 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 55,97,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,97,679) = 1

common factors(in case of two or more numbers have common factors) = 97

GCF(55,97,679) x common factors =1 x 97 = 97

LCM(55,97,679) = ( 55 × 97 × 679 ) / 97

LCM(55,97,679) = 3622465 / 97

LCM(55,97,679) = 37345


Lets's calculate GCF of 580,481,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37345/1

Therefore the LCM of Fractions 55/580,97/481,679/917 is 37345

Greatest Common Factor of 580,481,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,481,917 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 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 580,481,917 . The biggest common factor number is the GCF number.
So the greatest common factor 580,481,917 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 55/580, 97/481, 679/917

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, 97/481, 679/917?

Answer: LCM of Numerators as per given numbers 55/580, 97/481, 679/917 is

LCM of Numerators i.e. for 55,97,679 is 37345

GCF of denominators i.e. for 580,481,917 is 1.

Thus, LCM of Fractions is 37345.Finally, LCM of Fractions for 55/580, 97/481, 679/917 is 37345.