Least Common Multiple of 585/605, 6557/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/605, 6557/520 quickly i.e. 767169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/605, 6557/520 is 767169.

LCM(585/605, 6557/520) = 767169

LCM of 585/605, 6557/520

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 585/605,6557/520

Given numbers are 585/605,6557/520

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 585,6557

Least Common Multiple of Numerators i.e. LCM of 585,6557 is 3835845.

GCF of Denominators means GCF of 605,520 as per the given fractions.

GCF of 605,520 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,6557

LCM of Fractions 585/605,6557/520 is 767169

Given numbers has no common factors except 1. So, there LCM is their product i.e 3835845

Least Common Multiple of 585,6557 with GCF Formula

Least Common Multiple of 585,6557 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 585,6557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,6557) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(585,6557) x common factors =1 x 1 = 1

LCM(585,6557) = ( 585 × 6557 ) / 1

LCM(585,6557) = 3835845 / 1

LCM(585,6557) = 3835845


Lets's calculate GCF of 605,520

5 605, 520
121, 104

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3835845/5

Therefore the LCM of Fractions 585/605,6557/520 is 767169

Greatest Common Factor of 605,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,520 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 605,520 . The biggest common factor number is the GCF number.
So the greatest common factor 605,520 is 5.


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 585/605, 6557/520

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 585/605, 6557/520?

Answer: LCM of Numerators as per given numbers 585/605, 6557/520 is

LCM of Numerators i.e. for 585,6557 is 3835845

GCF of denominators i.e. for 605,520 is 5.

Thus, LCM of Fractions is 767169.Finally, LCM of Fractions for 585/605, 6557/520 is 767169.