Given numbers are 372,432,364,462

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

The LCM of 372,432,364,462 is 13405392.

Find LCM of 372,432,364,462 with Prime Factorization

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

2 x 2 x 3 x 7 x 31 x 36 x 13 x 11 = 13405392

Therefore, the lowest common multiple of 372,432,364,462 is 13405392.

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.

372 x 432 x 364 x 462 = 27025270272

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,432,364,462, is 2.

Now, the common factors can be found like this.

372:2x 2x 3x 31

432:2x 2x 2x 2x 3x 3x 3

364:2x 2x 7x 13

462:2x 3x 7x 11

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 7 = 1008

Therefore, the value for common factors is 1008.

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 = 27025270272/(2x1008)

LCM = 27025270272/2016

LCM = 13405392

Thus, we can understand that the LCM of 372,432,364,462 is 13405392.

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

• LCM of 450, 501, 153, 132
• LCM of 171, 803, 196, 956
• LCM of 251, 624, 601, 467
• LCM of 480, 385, 148, 215
• LCM of 972, 195, 417, 416

1. What is the LCM of 372, 432, 364, 462?

Answer: LCM of 372, 432, 364, 462 is 13405392.

2. How to calculate the LCM of 372, 432, 364, 462?

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 372, 432, 364, 462.

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}.