Given numbers are 432,506,386,364

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

The LCM of 432,506,386,364 is 1919565648.

Find LCM of 432,506,386,364 with Prime Factorization

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

2 x 2 x 108 x 253 x 193 x 91 = 1919565648

Therefore, the lowest common multiple of 432,506,386,364 is 1919565648.

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.

432 x 506 x 386 x 364 = 30713050368

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.

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

386 : 1, 2, 193, 386

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,506,386,364, is 2.

Now, the common factors can be found like this.

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

506:2x 11x 23

386:2x 193

364:2x 2x 7x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 30713050368/(2x8)

LCM = 30713050368/16

LCM = 1919565648

Thus, we can understand that the LCM of 432,506,386,364 is 1919565648.

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

• LCM of 786, 971, 857, 430
• LCM of 794, 268, 752, 114
• LCM of 164, 962, 933, 824
• LCM of 117, 324, 127, 455
• LCM of 993, 305, 226, 137

1. What is the LCM of 432, 506, 386, 364?

Answer: LCM of 432, 506, 386, 364 is 1919565648.

2. How to calculate the LCM of 432, 506, 386, 364?

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 432, 506, 386, 364.

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}.