Given numbers are 643,544,115,414

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

The LCM of 643,544,115,414 is 362034720.

Find LCM of 643,544,115,414 with Prime Factorization

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

2 x 23 x 643 x 272 x 5 x 9 = 362034720

Therefore, the lowest common multiple of 643,544,115,414 is 362034720.

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 544 x 115 x 414 = 16653597120

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

115 : 1, 5, 23, 115

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,544,115,414, is 1.

Now, the common factors can be found like this.

643:643

544:2x 2x 2x 2x 2x 17

115:5x 23

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 16653597120/(1x46)

LCM = 16653597120/46

LCM = 362034720

Thus, we can understand that the LCM of 643,544,115,414 is 362034720.

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

• LCM of 964, 827, 545, 747
• LCM of 725, 235, 512, 208
• LCM of 101, 892, 681, 834
• LCM of 772, 560, 296, 724
• LCM of 148, 354, 868, 271

1. What is the LCM of 643, 544, 115, 414?

Answer: LCM of 643, 544, 115, 414 is 362034720.

2. How to calculate the LCM of 643, 544, 115, 414?

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, 544, 115, 414.

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}.