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LCM of 578, 361, 780, 417

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


Find the LCM of 578, 361, 780, 417 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 578, 361, 780, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,361,780,417

Given numbers are 578,361,780,417

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

The LCM of 578,361,780,417 is 11311350180.

Find LCM of 578,361,780,417 with Prime Factorization


2 578, 361, 780, 417
3 289, 361, 390, 417
289, 361, 130, 139

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

2 x 3 x 289 x 361 x 130 x 139 = 11311350180

Therefore, the lowest common multiple of 578,361,780,417 is 11311350180.

LCM Formula to Find Lowest Common Multiple of 578,361,780,417

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.

578 x 361 x 780 x 417 = 67868101080

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.

578 : 1, 2, 17, 34, 289, 578

361 : 1, 19, 361

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,361,780,417, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

361:19x 19

780:2x 2x 3x 5x 13

417:3x 139

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 67868101080/(1x6)

LCM = 67868101080/6

LCM = 11311350180

Thus, we can understand that the LCM of 578,361,780,417 is 11311350180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 361, 780, 417

1. What is the LCM of 578, 361, 780, 417?

Answer: LCM of 578, 361, 780, 417 is 11311350180.

2. How to calculate the LCM of 578, 361, 780, 417?

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 578, 361, 780, 417.

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}.