Given numbers are 432,706,481,468,936

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

The LCM of 432,706,481,468,936 is 73350576.

Find LCM of 432,706,481,468,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 6 x 353 x 37 x 1 x 1 = 73350576

Therefore, the lowest common multiple of 432,706,481,468,936 is 73350576.

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 706 x 481 x 468 x 936 = 64262146231296

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

706 : 1, 2, 353, 706

481 : 1, 13, 37, 481

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,706,481,468,936, is 1.

Now, the common factors can be found like this.

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

706:2x 353

481:13x 37

468:2x 2x 3x 3x 13

936:2x 2x 2x 3x 3x 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 2x 2x 2x 2x 3x 3x 3x 3x 13x 13 = 876096

Therefore, the value for common factors is 876096.

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 = 64262146231296/(1x876096)

LCM = 64262146231296/876096

LCM = 73350576

Thus, we can understand that the LCM of 432,706,481,468,936 is 73350576.

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

• LCM of 493, 836, 790, 162, 316
• LCM of 849, 824, 708, 530, 932
• LCM of 976, 877, 942, 404, 804
• LCM of 811, 874, 658, 330, 389
• LCM of 341, 549, 724, 998, 744

1. What is the LCM of 432, 706, 481, 468, 936?

Answer: LCM of 432, 706, 481, 468, 936 is 73350576.

2. How to calculate the LCM of 432, 706, 481, 468, 936?

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, 706, 481, 468, 936.

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}.