Least Common Multiple of 589/509, 8740/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/509, 8740/620 quickly i.e. 270940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/509, 8740/620 is 270940.

LCM(589/509, 8740/620) = 270940

LCM of 589/509, 8740/620

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 589/509,8740/620

Given numbers are 589/509,8740/620

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 589,8740

Least Common Multiple of Numerators i.e. LCM of 589,8740 is 270940.

GCF of Denominators means GCF of 509,620 as per the given fractions.

GCF of 509,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,8740

LCM of Fractions 589/509,8740/620 is 270940

19 589, 8740
31, 460

∴ So the LCM of the given numbers is 19 x 31 x 460 = 270940

Least Common Multiple of 589,8740 with GCF Formula

Least Common Multiple of 589,8740 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 589,8740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,8740) = 19

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

GCF(589,8740) x common factors =19 x 1 = 19

LCM(589,8740) = ( 589 × 8740 ) / 19

LCM(589,8740) = 5147860 / 19

LCM(589,8740) = 270940


Lets's calculate GCF of 509,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270940/1

Therefore the LCM of Fractions 589/509,8740/620 is 270940

Greatest Common Factor of 509,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,620 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

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 509,620 . The biggest common factor number is the GCF number.
So the greatest common factor 509,620 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 589/509, 8740/620

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 589/509, 8740/620?

Answer: LCM of Numerators as per given numbers 589/509, 8740/620 is

LCM of Numerators i.e. for 589,8740 is 270940

GCF of denominators i.e. for 509,620 is 1.

Thus, LCM of Fractions is 270940.Finally, LCM of Fractions for 589/509, 8740/620 is 270940.