Given numbers are 413,154,546,790,784

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

The LCM of 413,154,546,790,784 is 7838310480.

Find LCM of 413,154,546,790,784 with Prime Factorization

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

2 x 7 x 59 x 11 x 39 x 395 x 56 = 7838310480

Therefore, the lowest common multiple of 413,154,546,790,784 is 7838310480.

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 154 x 546 x 790 x 784 = 21508323957120

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

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

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,154,546,790,784, is 1.

Now, the common factors can be found like this.

413:7x 59

154:2x 7x 11

546:2x 3x 7x 13

790:2x 5x 79

784:2x 2x 2x 2x 7x 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 7x 7x 7 = 2744

Therefore, the value for common factors is 2744.

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 = 21508323957120/(1x2744)

LCM = 21508323957120/2744

LCM = 7838310480

Thus, we can understand that the LCM of 413,154,546,790,784 is 7838310480.

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

• LCM of 436, 521, 844, 398, 203
• LCM of 908, 178, 124, 229, 123
• LCM of 585, 464, 221, 745, 346
• LCM of 790, 314, 214, 855, 916
• LCM of 825, 289, 137, 384, 669

1. What is the LCM of 413, 154, 546, 790, 784?

Answer: LCM of 413, 154, 546, 790, 784 is 7838310480.

2. How to calculate the LCM of 413, 154, 546, 790, 784?

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, 154, 546, 790, 784.

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}.