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LCM of 582, 189, 421, 471, 471

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 582, 189, 421, 471, 471 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 582, 189, 421, 471, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,189,421,471,471

Given numbers are 582,189,421,471,471

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 582,189,421,471,471 is 2423512602.

Find LCM of 582,189,421,471,471 with Prime Factorization


3 582, 189, 421, 471, 471
157 194, 63, 421, 157, 157
194, 63, 421, 1, 1

Multiply the prime numbers at the bottom and the left side.

3 x 157 x 194 x 63 x 421 x 1 x 1 = 2423512602

Therefore, the lowest common multiple of 582,189,421,471,471 is 2423512602.

LCM Formula to Find Lowest Common Multiple of 582,189,421,471,471

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

582 x 189 x 421 x 471 x 471 = 10273269919878

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

582 : 1, 2, 3, 6, 97, 194, 291, 582

189 : 1, 3, 7, 9, 21, 27, 63, 189

421 : 1, 421

471 : 1, 3, 157, 471

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,189,421,471,471, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

189:3x 3x 3x 7

421:421

471:3x 157

471:3x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 157 = 4239

Therefore, the value for common factors is 4239.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10273269919878/(1x4239)

LCM = 10273269919878/4239

LCM = 2423512602

Thus, we can understand that the LCM of 582,189,421,471,471 is 2423512602.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 189, 421, 471, 471

1. What is the LCM of 582, 189, 421, 471, 471?

Answer: LCM of 582, 189, 421, 471, 471 is 2423512602.

2. How to calculate the LCM of 582, 189, 421, 471, 471?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 582, 189, 421, 471, 471.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.