Given numbers are 456,790,414,948,219

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

The LCM of 456,790,414,948,219 is 907264440.

Find LCM of 456,790,414,948,219 with Prime Factorization

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

2 x 2 x 3 x 79 x 38 x 5 x 69 x 1 x 73 = 907264440

Therefore, the lowest common multiple of 456,790,414,948,219 is 907264440.

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.

456 x 790 x 414 x 948 x 219 = 30963120808320

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.

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,790,414,948,219, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

790:2x 5x 79

414:2x 3x 3x 23

948:2x 2x 3x 79

219:3x 73

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 3x 3x 3x 79 = 34128

Therefore, the value for common factors is 34128.

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 = 30963120808320/(1x34128)

LCM = 30963120808320/34128

LCM = 907264440

Thus, we can understand that the LCM of 456,790,414,948,219 is 907264440.

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

• LCM of 872, 725, 297, 572, 708
• LCM of 911, 300, 412, 197, 530
• LCM of 477, 460, 167, 700, 956
• LCM of 290, 791, 414, 407, 304
• LCM of 363, 783, 870, 717, 933

1. What is the LCM of 456, 790, 414, 948, 219?

Answer: LCM of 456, 790, 414, 948, 219 is 907264440.

2. How to calculate the LCM of 456, 790, 414, 948, 219?

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 456, 790, 414, 948, 219.

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}.