Given numbers are 642,612,541,468,231

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

The LCM of 642,612,541,468,231 is 35462270844.

Find LCM of 642,612,541,468,231 with Prime Factorization

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

2 x 2 x 3 x 3 x 107 x 17 x 541 x 13 x 77 = 35462270844

Therefore, the lowest common multiple of 642,612,541,468,231 is 35462270844.

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.

642 x 612 x 541 x 468 x 231 = 22979551506912

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

541 : 1, 541

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

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,612,541,468,231, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

612:2x 2x 3x 3x 17

541:541

468:2x 2x 3x 3x 13

231:3x 7x 11

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 22979551506912/(1x648)

LCM = 22979551506912/648

LCM = 35462270844

Thus, we can understand that the LCM of 642,612,541,468,231 is 35462270844.

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

• LCM of 885, 292, 788, 735, 310
• LCM of 162, 626, 562, 789, 354
• LCM of 479, 415, 476, 503, 270
• LCM of 887, 145, 577, 305, 929
• LCM of 696, 499, 578, 252, 564

1. What is the LCM of 642, 612, 541, 468, 231?

Answer: LCM of 642, 612, 541, 468, 231 is 35462270844.

2. How to calculate the LCM of 642, 612, 541, 468, 231?

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 642, 612, 541, 468, 231.

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}.