Given numbers are 432,643,506,860

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

The LCM of 432,643,506,860 is 15109625520.

Find LCM of 432,643,506,860 with Prime Factorization

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

2 x 2 x 108 x 643 x 253 x 215 = 15109625520

Therefore, the lowest common multiple of 432,643,506,860 is 15109625520.

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 643 x 506 x 860 = 120877004160

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

643 : 1, 643

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,643,506,860, is 1.

Now, the common factors can be found like this.

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

643:643

506:2x 11x 23

860:2x 2x 5x 43

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 = 120877004160/(1x8)

LCM = 120877004160/8

LCM = 15109625520

Thus, we can understand that the LCM of 432,643,506,860 is 15109625520.

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

• LCM of 471, 365, 608, 287
• LCM of 769, 441, 491, 320
• LCM of 801, 100, 838, 142
• LCM of 929, 910, 820, 266
• LCM of 684, 496, 553, 791

1. What is the LCM of 432, 643, 506, 860?

Answer: LCM of 432, 643, 506, 860 is 15109625520.

2. How to calculate the LCM of 432, 643, 506, 860?

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, 643, 506, 860.

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}.