Given numbers are 417,546,456,252

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

The LCM of 417,546,456,252 is 17303832.

Find LCM of 417,546,456,252 with Prime Factorization

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

2 x 2 x 3 x 7 x 139 x 13 x 38 x 3 = 17303832

Therefore, the lowest common multiple of 417,546,456,252 is 17303832.

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.

417 x 546 x 456 x 252 = 26163393984

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.

417 : 1, 3, 139, 417

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,546,456,252, is 3.

Now, the common factors can be found like this.

417:3x 139

546:2x 3x 7x 13

456:2x 2x 2x 3x 19

252:2x 2x 3x 3x 7

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 26163393984/(3x504)

LCM = 26163393984/1512

LCM = 17303832

Thus, we can understand that the LCM of 417,546,456,252 is 17303832.

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

• LCM of 903, 262, 160, 165
• LCM of 522, 334, 476, 199
• LCM of 834, 281, 458, 850
• LCM of 182, 304, 686, 424
• LCM of 745, 316, 874, 995

1. What is the LCM of 417, 546, 456, 252?

Answer: LCM of 417, 546, 456, 252 is 17303832.

2. How to calculate the LCM of 417, 546, 456, 252?

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 417, 546, 456, 252.

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}.