Given numbers are 462,468,246,289,753

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

The LCM of 462,468,246,289,753 is 107174631564.

Find LCM of 462,468,246,289,753 with Prime Factorization

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

2 x 3 x 77 x 78 x 41 x 289 x 251 = 107174631564

Therefore, the lowest common multiple of 462,468,246,289,753 is 107174631564.

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.

462 x 468 x 246 x 289 x 753 = 11574860208912

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.

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

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

246 : 1, 2, 3, 6, 41, 82, 123, 246

289 : 1, 17, 289

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,468,246,289,753, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

468:2x 2x 3x 3x 13

246:2x 3x 41

289:17x 17

753:3x 251

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 11574860208912/(1x108)

LCM = 11574860208912/108

LCM = 107174631564

Thus, we can understand that the LCM of 462,468,246,289,753 is 107174631564.

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

• LCM of 938, 475, 376, 512, 674
• LCM of 278, 818, 167, 515, 456
• LCM of 671, 808, 726, 507, 238
• LCM of 636, 232, 127, 779, 120
• LCM of 257, 972, 264, 794, 364

1. What is the LCM of 462, 468, 246, 289, 753?

Answer: LCM of 462, 468, 246, 289, 753 is 107174631564.

2. How to calculate the LCM of 462, 468, 246, 289, 753?

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 462, 468, 246, 289, 753.

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}.