Given numbers are 924,721,735,225,623

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

The LCM of 924,721,735,225,623 is 4446911700.

Find LCM of 924,721,735,225,623 with Prime Factorization

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

3 x 5 x 7 x 44 x 103 x 7 x 15 x 89 = 4446911700

Therefore, the lowest common multiple of 924,721,735,225,623 is 4446911700.

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.

924 x 721 x 735 x 225 x 623 = 68638082089500

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

721 : 1, 7, 103, 721

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,721,735,225,623, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

721:7x 103

735:3x 5x 7x 7

225:3x 3x 5x 5

623:7x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 5x 7x 7x 7 = 15435

Therefore, the value for common factors is 15435.

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 = 68638082089500/(1x15435)

LCM = 68638082089500/15435

LCM = 4446911700

Thus, we can understand that the LCM of 924,721,735,225,623 is 4446911700.

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

• LCM of 518, 967, 573, 706, 638
• LCM of 838, 973, 668, 417, 314
• LCM of 179, 809, 614, 269, 158
• LCM of 870, 573, 402, 162, 594
• LCM of 300, 878, 939, 479, 807

1. What is the LCM of 924, 721, 735, 225, 623?

Answer: LCM of 924, 721, 735, 225, 623 is 4446911700.

2. How to calculate the LCM of 924, 721, 735, 225, 623?

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 924, 721, 735, 225, 623.

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}.