Given numbers are 432,198,149,376,796

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

The LCM of 432,198,149,376,796 is 6622372944.

Find LCM of 432,198,149,376,796 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 6 x 11 x 149 x 47 x 199 = 6622372944

Therefore, the lowest common multiple of 432,198,149,376,796 is 6622372944.

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 198 x 149 x 376 x 796 = 3814486815744

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

149 : 1, 149

376 : 1, 2, 4, 8, 47, 94, 188, 376

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,198,149,376,796, is 1.

Now, the common factors can be found like this.

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

198:2x 3x 3x 11

149:149

376:2x 2x 2x 47

796:2x 2x 199

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 3814486815744/(1x576)

LCM = 3814486815744/576

LCM = 6622372944

Thus, we can understand that the LCM of 432,198,149,376,796 is 6622372944.

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

• LCM of 719, 986, 110, 486, 613
• LCM of 913, 335, 601, 123, 619
• LCM of 212, 439, 597, 838, 647
• LCM of 953, 632, 542, 899, 100
• LCM of 385, 793, 855, 309, 677

1. What is the LCM of 432, 198, 149, 376, 796?

Answer: LCM of 432, 198, 149, 376, 796 is 6622372944.

2. How to calculate the LCM of 432, 198, 149, 376, 796?

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, 198, 149, 376, 796.

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}.