Given numbers are 468,478,252,720

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

The LCM of 468,478,252,720 is 15659280.

Find LCM of 468,478,252,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 239 x 7 x 20 = 15659280

Therefore, the lowest common multiple of 468,478,252,720 is 15659280.

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.

468 x 478 x 252 x 720 = 40588853760

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

478 : 1, 2, 239, 478

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,478,252,720, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

478:2x 239

252:2x 2x 3x 3x 7

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 40588853760/(2x1296)

LCM = 40588853760/2592

LCM = 15659280

Thus, we can understand that the LCM of 468,478,252,720 is 15659280.

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

• LCM of 128, 949, 521, 765
• LCM of 836, 275, 103, 584
• LCM of 587, 262, 644, 533
• LCM of 193, 829, 667, 167
• LCM of 392, 209, 937, 739

1. What is the LCM of 468, 478, 252, 720?

Answer: LCM of 468, 478, 252, 720 is 15659280.

2. How to calculate the LCM of 468, 478, 252, 720?

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 468, 478, 252, 720.

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}.