Given numbers are 386,676,432,924,143

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

The LCM of 386,676,432,924,143 is 1084971888.

Find LCM of 386,676,432,924,143 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 193 x 1 x 36 x 7 x 13 = 1084971888

Therefore, the lowest common multiple of 386,676,432,924,143 is 1084971888.

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.

386 x 676 x 432 x 924 x 143 = 14894494078464

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.

386 : 1, 2, 193, 386

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,676,432,924,143, is 1.

Now, the common factors can be found like this.

386:2x 193

676:2x 2x 13x 13

432:2x 2x 2x 2x 3x 3x 3

924:2x 2x 3x 7x 11

143:11x 13

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 11x 13 = 13728

Therefore, the value for common factors is 13728.

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 = 14894494078464/(1x13728)

LCM = 14894494078464/13728

LCM = 1084971888

Thus, we can understand that the LCM of 386,676,432,924,143 is 1084971888.

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

• LCM of 855, 486, 917, 169, 458
• LCM of 367, 918, 820, 227, 879
• LCM of 900, 225, 246, 355, 289
• LCM of 264, 301, 422, 340, 153
• LCM of 238, 626, 292, 664, 872

1. What is the LCM of 386, 676, 432, 924, 143?

Answer: LCM of 386, 676, 432, 924, 143 is 1084971888.

2. How to calculate the LCM of 386, 676, 432, 924, 143?

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 386, 676, 432, 924, 143.

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}.