Given numbers are 520,765,493,578,340

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

The LCM of 520,765,493,578,340 is 39223080.

Find LCM of 520,765,493,578,340 with Prime Factorization

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

2 x 2 x 5 x 17 x 26 x 9 x 29 x 1 x 17 = 39223080

Therefore, the lowest common multiple of 520,765,493,578,340 is 39223080.

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.

520 x 765 x 493 x 578 x 340 = 38540598408000

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

493 : 1, 17, 29, 493

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,765,493,578,340, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

765:3x 3x 5x 17

493:17x 29

578:2x 17x 17

340:2x 2x 5x 17

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 5x 5x 17x 17x 17 = 982600

Therefore, the value for common factors is 982600.

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 = 38540598408000/(1x982600)

LCM = 38540598408000/982600

LCM = 39223080

Thus, we can understand that the LCM of 520,765,493,578,340 is 39223080.

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

• LCM of 786, 854, 420, 252, 741
• LCM of 677, 253, 706, 437, 137
• LCM of 516, 704, 436, 618, 501
• LCM of 487, 931, 114, 153, 835
• LCM of 796, 258, 200, 715, 154

1. What is the LCM of 520, 765, 493, 578, 340?

Answer: LCM of 520, 765, 493, 578, 340 is 39223080.

2. How to calculate the LCM of 520, 765, 493, 578, 340?

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 520, 765, 493, 578, 340.

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}.