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LCM of 571, 684, 463, 122, 589

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


Find the LCM of 571, 684, 463, 122, 589 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 571, 684, 463, 122, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,684,463,122,589

Given numbers are 571,684,463,122,589

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

The LCM of 571,684,463,122,589 is 341951670612.

Find LCM of 571,684,463,122,589 with Prime Factorization


2 571, 684, 463, 122, 589
19 571, 342, 463, 61, 589
571, 18, 463, 61, 31

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

2 x 19 x 571 x 18 x 463 x 61 x 31 = 341951670612

Therefore, the lowest common multiple of 571,684,463,122,589 is 341951670612.

LCM Formula to Find Lowest Common Multiple of 571,684,463,122,589

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.

571 x 684 x 463 x 122 x 589 = 12994163483256

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.

571 : 1, 571

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

463 : 1, 463

122 : 1, 2, 61, 122

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,684,463,122,589, is 1.

Now, the common factors can be found like this.

571:571

684:2x 2x 3x 3x 19

463:463

122:2x 61

589:19x 31

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 12994163483256/(1x38)

LCM = 12994163483256/38

LCM = 341951670612

Thus, we can understand that the LCM of 571,684,463,122,589 is 341951670612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 684, 463, 122, 589

1. What is the LCM of 571, 684, 463, 122, 589?

Answer: LCM of 571, 684, 463, 122, 589 is 341951670612.

2. How to calculate the LCM of 571, 684, 463, 122, 589?

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 571, 684, 463, 122, 589.

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}.