Least Common Multiple of 71/220, 818/512, 609/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/220, 818/512, 609/590 quickly i.e. 17684751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/220, 818/512, 609/590 is 17684751.

LCM(71/220, 818/512, 609/590) = 17684751

LCM of 71/220, 818/512, 609/590

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 71/220,818/512,609/590

Given numbers are 71/220,818/512,609/590

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 71,818,609

Least Common Multiple of Numerators i.e. LCM of 71,818,609 is 35369502.

GCF of Denominators means GCF of 220,512,590 as per the given fractions.

GCF of 220,512,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,818,609

LCM of Fractions 71/220,818/512,609/590 is 17684751

Given numbers has no common factors except 1. So, there LCM is their product i.e 35369502

Least Common Multiple of 71,818,609 with GCF Formula

Least Common Multiple of 71,818,609 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 71,818,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,818,609) = 1

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

GCF(71,818,609) x common factors =1 x 1 = 1

LCM(71,818,609) = ( 71 × 818 × 609 ) / 1

LCM(71,818,609) = 35369502 / 1

LCM(71,818,609) = 35369502


Lets's calculate GCF of 220,512,590

2 220, 512, 590
110, 256, 295

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35369502/2

Therefore the LCM of Fractions 71/220,818/512,609/590 is 17684751

Greatest Common Factor of 220,512,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,512,590 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 220,512,590 . The biggest common factor number is the GCF number.
So the greatest common factor 220,512,590 is 2.


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 71/220, 818/512, 609/590

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 71/220, 818/512, 609/590?

Answer: LCM of Numerators as per given numbers 71/220, 818/512, 609/590 is

LCM of Numerators i.e. for 71,818,609 is 35369502

GCF of denominators i.e. for 220,512,590 is 2.

Thus, LCM of Fractions is 17684751.Finally, LCM of Fractions for 71/220, 818/512, 609/590 is 17684751.