Given numbers are 561,461,816,738,418

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

The LCM of 561,461,816,738,418 is 9670356432.

Find LCM of 561,461,816,738,418 with Prime Factorization

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

2 x 3 x 11 x 17 x 1 x 461 x 8 x 123 x 19 = 9670356432

Therefore, the lowest common multiple of 561,461,816,738,418 is 9670356432.

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.

561 x 461 x 816 x 738 x 418 = 65100839500224

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

461 : 1, 461

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,461,816,738,418, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

461:461

816:2x 2x 2x 2x 3x 17

738:2x 3x 3x 41

418:2x 11x 19

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 3x 3x 11x 17 = 6732

Therefore, the value for common factors is 6732.

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 = 65100839500224/(1x6732)

LCM = 65100839500224/6732

LCM = 9670356432

Thus, we can understand that the LCM of 561,461,816,738,418 is 9670356432.

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

• LCM of 108, 611, 534, 462, 506
• LCM of 971, 677, 321, 206, 834
• LCM of 863, 627, 944, 169, 418
• LCM of 329, 934, 224, 393, 649
• LCM of 546, 141, 490, 710, 264

1. What is the LCM of 561, 461, 816, 738, 418?

Answer: LCM of 561, 461, 816, 738, 418 is 9670356432.

2. How to calculate the LCM of 561, 461, 816, 738, 418?

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 561, 461, 816, 738, 418.

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}.