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LCM of 590, 286, 700, 558

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


Find the LCM of 590, 286, 700, 558 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 590, 286, 700, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,286,700,558

Given numbers are 590,286,700,558

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

The LCM of 590,286,700,558 is 1647746100.

Find LCM of 590,286,700,558 with Prime Factorization


2 590, 286, 700, 558
5 295, 143, 350, 279
59, 143, 70, 279

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

2 x 5 x 59 x 143 x 70 x 279 = 1647746100

Therefore, the lowest common multiple of 590,286,700,558 is 1647746100.

LCM Formula to Find Lowest Common Multiple of 590,286,700,558

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.

590 x 286 x 700 x 558 = 65909844000

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.

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,286,700,558, is 2.

Now, the common factors can be found like this.

590:2x 5x 59

286:2x 11x 13

700:2x 2x 5x 5x 7

558:2x 3x 3x 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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 65909844000/(2x20)

LCM = 65909844000/40

LCM = 1647746100

Thus, we can understand that the LCM of 590,286,700,558 is 1647746100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 286, 700, 558

1. What is the LCM of 590, 286, 700, 558?

Answer: LCM of 590, 286, 700, 558 is 1647746100.

2. How to calculate the LCM of 590, 286, 700, 558?

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 590, 286, 700, 558.

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}.