Given numbers are 261,506,636,652,984

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

The LCM of 261,506,636,652,984 is 187110580536.

Find LCM of 261,506,636,652,984 with Prime Factorization

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

2 x 2 x 3 x 87 x 253 x 53 x 163 x 82 = 187110580536

Therefore, the lowest common multiple of 261,506,636,652,984 is 187110580536.

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.

261 x 506 x 636 x 652 x 984 = 53887847194368

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.

261 : 1, 3, 9, 29, 87, 261

506 : 1, 2, 11, 22, 23, 46, 253, 506

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

652 : 1, 2, 4, 163, 326, 652

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,506,636,652,984, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

506:2x 11x 23

636:2x 2x 3x 53

652:2x 2x 163

984:2x 2x 2x 3x 41

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 53887847194368/(1x288)

LCM = 53887847194368/288

LCM = 187110580536

Thus, we can understand that the LCM of 261,506,636,652,984 is 187110580536.

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

• LCM of 968, 869, 946, 839, 910
• LCM of 858, 791, 397, 714, 236
• LCM of 917, 633, 860, 376, 233
• LCM of 687, 689, 621, 159, 240
• LCM of 886, 358, 517, 596, 222

1. What is the LCM of 261, 506, 636, 652, 984?

Answer: LCM of 261, 506, 636, 652, 984 is 187110580536.

2. How to calculate the LCM of 261, 506, 636, 652, 984?

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 261, 506, 636, 652, 984.

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}.