Given numbers are 624,366,945,407

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

The LCM of 624,366,945,407 is 4879995120.

Find LCM of 624,366,945,407 with Prime Factorization

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

2 x 3 x 104 x 61 x 315 x 407 = 4879995120

Therefore, the lowest common multiple of 624,366,945,407 is 4879995120.

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.

624 x 366 x 945 x 407 = 87839912160

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

366 : 1, 2, 3, 6, 61, 122, 183, 366

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,366,945,407, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

366:2x 3x 61

945:3x 3x 3x 5x 7

407:11x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 87839912160/(1x18)

LCM = 87839912160/18

LCM = 4879995120

Thus, we can understand that the LCM of 624,366,945,407 is 4879995120.

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

• LCM of 111, 772, 518, 647
• LCM of 171, 961, 801, 724
• LCM of 380, 849, 661, 377
• LCM of 852, 853, 339, 113
• LCM of 934, 686, 339, 249

1. What is the LCM of 624, 366, 945, 407?

Answer: LCM of 624, 366, 945, 407 is 4879995120.

2. How to calculate the LCM of 624, 366, 945, 407?

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 624, 366, 945, 407.

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}.