Given numbers are 456,408,313,726,520

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

The LCM of 456,408,313,726,520 is 19083447240.

Find LCM of 456,408,313,726,520 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 17 x 313 x 121 x 65 = 19083447240

Therefore, the lowest common multiple of 456,408,313,726,520 is 19083447240.

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.

456 x 408 x 313 x 726 x 520 = 21984131220480

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

313 : 1, 313

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,408,313,726,520, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

408:2x 2x 2x 3x 17

313:313

726:2x 3x 11x 11

520:2x 2x 2x 5x 13

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 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 21984131220480/(1x1152)

LCM = 21984131220480/1152

LCM = 19083447240

Thus, we can understand that the LCM of 456,408,313,726,520 is 19083447240.

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

• LCM of 488, 186, 446, 884, 659
• LCM of 195, 828, 869, 810, 459
• LCM of 532, 402, 263, 548, 989
• LCM of 346, 424, 555, 285, 150
• LCM of 828, 520, 542, 728, 463

1. What is the LCM of 456, 408, 313, 726, 520?

Answer: LCM of 456, 408, 313, 726, 520 is 19083447240.

2. How to calculate the LCM of 456, 408, 313, 726, 520?

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 456, 408, 313, 726, 520.

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}.