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LCM of 442, 779, 337, 623, 494

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


Find the LCM of 442, 779, 337, 623, 494 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 442, 779, 337, 623, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,779,337,623,494

Given numbers are 442,779,337,623,494

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

The LCM of 442,779,337,623,494 is 72289908418.

Find LCM of 442,779,337,623,494 with Prime Factorization


2 442, 779, 337, 623, 494
13 221, 779, 337, 623, 247
19 17, 779, 337, 623, 19
17, 41, 337, 623, 1

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

2 x 13 x 19 x 17 x 41 x 337 x 623 x 1 = 72289908418

Therefore, the lowest common multiple of 442,779,337,623,494 is 72289908418.

LCM Formula to Find Lowest Common Multiple of 442,779,337,623,494

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.

442 x 779 x 337 x 623 x 494 = 35711214758492

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

779 : 1, 19, 41, 779

337 : 1, 337

623 : 1, 7, 89, 623

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,779,337,623,494, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

779:19x 41

337:337

623:7x 89

494:2x 13x 19

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

2x 13x 19 = 494

Therefore, the value for common factors is 494.

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 = 35711214758492/(1x494)

LCM = 35711214758492/494

LCM = 72289908418

Thus, we can understand that the LCM of 442,779,337,623,494 is 72289908418.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 779, 337, 623, 494

1. What is the LCM of 442, 779, 337, 623, 494?

Answer: LCM of 442, 779, 337, 623, 494 is 72289908418.

2. How to calculate the LCM of 442, 779, 337, 623, 494?

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 442, 779, 337, 623, 494.

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}.