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LCM of 518, 590, 674, 477

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


Find the LCM of 518, 590, 674, 477 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 518, 590, 674, 477. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,590,674,477

Given numbers are 518,590,674,477

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

The LCM of 518,590,674,477 is 24564054690.

Find LCM of 518,590,674,477 with Prime Factorization


2 518, 590, 674, 477
259, 295, 337, 477

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

2 x 259 x 295 x 337 x 477 = 24564054690

Therefore, the lowest common multiple of 518,590,674,477 is 24564054690.

LCM Formula to Find Lowest Common Multiple of 518,590,674,477

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.

518 x 590 x 674 x 477 = 98256218760

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

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

674 : 1, 2, 337, 674

477 : 1, 3, 9, 53, 159, 477

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,590,674,477, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

590:2x 5x 59

674:2x 337

477:3x 3x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 98256218760/(1x4)

LCM = 98256218760/4

LCM = 24564054690

Thus, we can understand that the LCM of 518,590,674,477 is 24564054690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 590, 674, 477

1. What is the LCM of 518, 590, 674, 477?

Answer: LCM of 518, 590, 674, 477 is 24564054690.

2. How to calculate the LCM of 518, 590, 674, 477?

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 518, 590, 674, 477.

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}.