Given numbers are 360,415,463

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

The LCM of 360,415,463 is 13834440.

Find LCM of 360,415,463 with Prime Factorization

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

5 x 72 x 83 x 463 = 13834440

Therefore, the lowest common multiple of 360,415,463 is 13834440.

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.

360 x 415 x 463 = 69172200

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

415 : 1, 5, 83, 415

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,415,463, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

415:5x 83

463:463

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

5 = 5

Therefore, the value for common factors is 5.

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 = 69172200/(1x5)

LCM = 69172200/5

LCM = 13834440

Thus, we can understand that the LCM of 360,415,463 is 13834440.

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

• LCM of 782, 867, 612
• LCM of 561, 960, 139
• LCM of 792, 457, 668
• LCM of 794, 972, 500
• LCM of 829, 297, 539

1. What is the LCM of 360, 415, 463?

Answer: LCM of 360, 415, 463 is 13834440.

2. How to calculate the LCM of 360, 415, 463?

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 360, 415, 463.

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}.