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LCM of 416, 416, 581, 533

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


Find the LCM of 416, 416, 581, 533 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 416, 416, 581, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,416,581,533

Given numbers are 416,416,581,533

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

The LCM of 416,416,581,533 is 9909536.

Find LCM of 416,416,581,533 with Prime Factorization


2 416, 416, 581, 533
2 208, 208, 581, 533
2 104, 104, 581, 533
2 52, 52, 581, 533
2 26, 26, 581, 533
13 13, 13, 581, 533
1, 1, 581, 41

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

2 x 2 x 2 x 2 x 2 x 13 x 1 x 1 x 581 x 41 = 9909536

Therefore, the lowest common multiple of 416,416,581,533 is 9909536.

LCM Formula to Find Lowest Common Multiple of 416,416,581,533

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.

416 x 416 x 581 x 533 = 53590770688

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

581 : 1, 7, 83, 581

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,416,581,533, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

416:2x 2x 2x 2x 2x 13

581:7x 83

533:13x 41

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 2x 2x 2x 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 53590770688/(1x5408)

LCM = 53590770688/5408

LCM = 9909536

Thus, we can understand that the LCM of 416,416,581,533 is 9909536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 416, 581, 533

1. What is the LCM of 416, 416, 581, 533?

Answer: LCM of 416, 416, 581, 533 is 9909536.

2. How to calculate the LCM of 416, 416, 581, 533?

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 416, 416, 581, 533.

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}.