Given numbers are 413,480,515,730,962

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

The LCM of 413,480,515,730,962 is 716962515360.

Find LCM of 413,480,515,730,962 with Prime Factorization

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

2 x 5 x 413 x 48 x 103 x 73 x 481 = 716962515360

Therefore, the lowest common multiple of 413,480,515,730,962 is 716962515360.

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.

413 x 480 x 515 x 730 x 962 = 71696251536000

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.

413 : 1, 7, 59, 413

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

515 : 1, 5, 103, 515

730 : 1, 2, 5, 10, 73, 146, 365, 730

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,480,515,730,962, is 1.

Now, the common factors can be found like this.

413:7x 59

480:2x 2x 2x 2x 2x 3x 5

515:5x 103

730:2x 5x 73

962:2x 13x 37

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 71696251536000/(1x100)

LCM = 71696251536000/100

LCM = 716962515360

Thus, we can understand that the LCM of 413,480,515,730,962 is 716962515360.

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

• LCM of 193, 816, 640, 175, 200
• LCM of 743, 585, 843, 532, 516
• LCM of 472, 466, 261, 320, 869
• LCM of 526, 490, 971, 416, 154
• LCM of 207, 264, 560, 213, 557

1. What is the LCM of 413, 480, 515, 730, 962?

Answer: LCM of 413, 480, 515, 730, 962 is 716962515360.

2. How to calculate the LCM of 413, 480, 515, 730, 962?

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 413, 480, 515, 730, 962.

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}.