Given numbers are 432,536,784,749,230

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

The LCM of 432,536,784,749,230 is 17451640080.

Find LCM of 432,536,784,749,230 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 27 x 67 x 7 x 107 x 115 = 17451640080

Therefore, the lowest common multiple of 432,536,784,749,230 is 17451640080.

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 536 x 784 x 749 x 230 = 31273339023360

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

749 : 1, 7, 107, 749

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,536,784,749,230, is 1.

Now, the common factors can be found like this.

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

536:2x 2x 2x 67

784:2x 2x 2x 2x 7x 7

749:7x 107

230:2x 5x 23

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 2x 2x 2x 2x 7 = 1792

Therefore, the value for common factors is 1792.

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 = 31273339023360/(1x1792)

LCM = 31273339023360/1792

LCM = 17451640080

Thus, we can understand that the LCM of 432,536,784,749,230 is 17451640080.

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

• LCM of 124, 706, 899, 648, 282
• LCM of 834, 625, 687, 861, 554
• LCM of 745, 341, 499, 968, 505
• LCM of 159, 463, 609, 249, 740
• LCM of 143, 945, 236, 547, 345

1. What is the LCM of 432, 536, 784, 749, 230?

Answer: LCM of 432, 536, 784, 749, 230 is 17451640080.

2. How to calculate the LCM of 432, 536, 784, 749, 230?

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, 536, 784, 749, 230.

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}.