Given numbers are 264,580,735,924,470

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

The LCM of 264,580,735,924,470 is 88158840.

Find LCM of 264,580,735,924,470 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 11 x 2 x 29 x 7 x 1 x 47 = 88158840

Therefore, the lowest common multiple of 264,580,735,924,470 is 88158840.

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.

264 x 580 x 735 x 924 x 470 = 48875260896000

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,580,735,924,470, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

580:2x 2x 5x 29

735:3x 5x 7x 7

924:2x 2x 3x 7x 11

470:2x 5x 47

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 3x 3x 5x 5x 7x 11 = 554400

Therefore, the value for common factors is 554400.

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 = 48875260896000/(1x554400)

LCM = 48875260896000/554400

LCM = 88158840

Thus, we can understand that the LCM of 264,580,735,924,470 is 88158840.

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

• LCM of 411, 711, 817, 741, 109
• LCM of 142, 741, 242, 119, 712
• LCM of 900, 586, 105, 779, 487
• LCM of 213, 891, 674, 144, 692
• LCM of 617, 722, 499, 528, 581

1. What is the LCM of 264, 580, 735, 924, 470?

Answer: LCM of 264, 580, 735, 924, 470 is 88158840.

2. How to calculate the LCM of 264, 580, 735, 924, 470?

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 264, 580, 735, 924, 470.

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}.