Least Common Multiple of 559/580, 906/123, 918/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/580, 906/123, 918/620 quickly i.e. 77487462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/580, 906/123, 918/620 is 77487462.

LCM(559/580, 906/123, 918/620) = 77487462

LCM of 559/580, 906/123, 918/620

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 559/580,906/123,918/620

Given numbers are 559/580,906/123,918/620

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 559,906,918

Least Common Multiple of Numerators i.e. LCM of 559,906,918 is 77487462.

GCF of Denominators means GCF of 580,123,620 as per the given fractions.

GCF of 580,123,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,906,918

LCM of Fractions 559/580,906/123,918/620 is 77487462

2 559, 906, 918
3 559, 453, 459
559, 151, 153

∴ So the LCM of the given numbers is 2 x 3 x 559 x 151 x 153 = 77487462

Least Common Multiple of 559,906,918 with GCF Formula

Least Common Multiple of 559,906,918 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 559,906,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,906,918) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(559,906,918) x common factors =1 x 6 = 6

LCM(559,906,918) = ( 559 × 906 × 918 ) / 6

LCM(559,906,918) = 464924772 / 6

LCM(559,906,918) = 77487462


Lets's calculate GCF of 580,123,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77487462/1

Therefore the LCM of Fractions 559/580,906/123,918/620 is 77487462

Greatest Common Factor of 580,123,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,123,620 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 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 580,123,620 . The biggest common factor number is the GCF number.
So the greatest common factor 580,123,620 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 559/580, 906/123, 918/620

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 559/580, 906/123, 918/620?

Answer: LCM of Numerators as per given numbers 559/580, 906/123, 918/620 is

LCM of Numerators i.e. for 559,906,918 is 77487462

GCF of denominators i.e. for 580,123,620 is 1.

Thus, LCM of Fractions is 77487462.Finally, LCM of Fractions for 559/580, 906/123, 918/620 is 77487462.