Given numbers are 513,518,440,984

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

The LCM of 513,518,440,984 is 2396920680.

Find LCM of 513,518,440,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 171 x 259 x 55 x 41 = 2396920680

Therefore, the lowest common multiple of 513,518,440,984 is 2396920680.

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 518 x 440 x 984 = 115052192640

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

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,518,440,984, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

518:2x 7x 37

440:2x 2x 2x 5x 11

984:2x 2x 2x 3x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 115052192640/(1x48)

LCM = 115052192640/48

LCM = 2396920680

Thus, we can understand that the LCM of 513,518,440,984 is 2396920680.

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

• LCM of 126, 417, 468, 279
• LCM of 275, 254, 158, 681
• LCM of 955, 456, 249, 373
• LCM of 566, 410, 579, 978
• LCM of 686, 748, 669, 605

1. What is the LCM of 513, 518, 440, 984?

Answer: LCM of 513, 518, 440, 984 is 2396920680.

2. How to calculate the LCM of 513, 518, 440, 984?

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, 518, 440, 984.

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}.