Given numbers are 643,468,282,264,252

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

The LCM of 643,468,282,264,252 is 2178087912.

Find LCM of 643,468,282,264,252 with Prime Factorization

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

2 x 2 x 3 x 3 x 643 x 13 x 47 x 22 x 7 = 2178087912

Therefore, the lowest common multiple of 643,468,282,264,252 is 2178087912.

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.

643 x 468 x 282 x 264 x 252 = 5645603867904

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.

643 : 1, 643

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

282 : 1, 2, 3, 6, 47, 94, 141, 282

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,468,282,264,252, is 1.

Now, the common factors can be found like this.

643:643

468:2x 2x 3x 3x 13

282:2x 3x 47

264:2x 2x 2x 3x 11

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 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 5645603867904/(1x2592)

LCM = 5645603867904/2592

LCM = 2178087912

Thus, we can understand that the LCM of 643,468,282,264,252 is 2178087912.

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

• LCM of 852, 581, 886, 616, 845
• LCM of 335, 473, 581, 342, 805
• LCM of 376, 422, 994, 676, 286
• LCM of 399, 679, 471, 560, 240
• LCM of 946, 368, 673, 974, 381

1. What is the LCM of 643, 468, 282, 264, 252?

Answer: LCM of 643, 468, 282, 264, 252 is 2178087912.

2. How to calculate the LCM of 643, 468, 282, 264, 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 643, 468, 282, 264, 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}.