Given numbers are 478,565,720,462,678

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

The LCM of 478,565,720,462,678 is 1497268080.

Find LCM of 478,565,720,462,678 with Prime Factorization

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

2 x 3 x 5 x 113 x 239 x 1 x 24 x 77 x 1 = 1497268080

Therefore, the lowest common multiple of 478,565,720,462,678 is 1497268080.

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.

478 x 565 x 720 x 462 x 678 = 60908865494400

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.

478 : 1, 2, 239, 478

565 : 1, 5, 113, 565

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,565,720,462,678, is 1.

Now, the common factors can be found like this.

478:2x 239

565:5x 113

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

462:2x 3x 7x 11

678:2x 3x 113

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 3x 3x 5x 113 = 40680

Therefore, the value for common factors is 40680.

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 = 60908865494400/(1x40680)

LCM = 60908865494400/40680

LCM = 1497268080

Thus, we can understand that the LCM of 478,565,720,462,678 is 1497268080.

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

• LCM of 376, 848, 207, 200, 100
• LCM of 700, 649, 887, 436, 482
• LCM of 662, 541, 941, 643, 447
• LCM of 903, 989, 438, 813, 820
• LCM of 437, 319, 525, 147, 762

1. What is the LCM of 478, 565, 720, 462, 678?

Answer: LCM of 478, 565, 720, 462, 678 is 1497268080.

2. How to calculate the LCM of 478, 565, 720, 462, 678?

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 478, 565, 720, 462, 678.

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}.