Given numbers are 513,798,406,528,401

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

The LCM of 513,798,406,528,401 is 7349714064.

Find LCM of 513,798,406,528,401 with Prime Factorization

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

2 x 3 x 7 x 19 x 9 x 1 x 29 x 88 x 401 = 7349714064

Therefore, the lowest common multiple of 513,798,406,528,401 is 7349714064.

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.

513 x 798 x 406 x 528 x 401 = 35190430938432

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

406 : 1, 2, 7, 14, 29, 58, 203, 406

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,798,406,528,401, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

798:2x 3x 7x 19

406:2x 7x 29

528:2x 2x 2x 2x 3x 11

401:401

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 3x 3x 7x 19 = 4788

Therefore, the value for common factors is 4788.

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 = 35190430938432/(1x4788)

LCM = 35190430938432/4788

LCM = 7349714064

Thus, we can understand that the LCM of 513,798,406,528,401 is 7349714064.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 618, 611, 757, 320, 188
• LCM of 275, 501, 908, 819, 442
• LCM of 118, 152, 943, 164, 700
• LCM of 410, 565, 419, 901, 801
• LCM of 141, 213, 558, 186, 236

1. What is the LCM of 513, 798, 406, 528, 401?

Answer: LCM of 513, 798, 406, 528, 401 is 7349714064.

2. How to calculate the LCM of 513, 798, 406, 528, 401?

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 513, 798, 406, 528, 401.

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}.