Given numbers are 795,681,207,288,963

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

The LCM of 795,681,207,288,963 is 42635939040.

Find LCM of 795,681,207,288,963 with Prime Factorization

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

3 x 3 x 265 x 227 x 23 x 32 x 107 = 42635939040

Therefore, the lowest common multiple of 795,681,207,288,963 is 42635939040.

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.

795 x 681 x 207 x 288 x 963 = 31081599560160

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.

795 : 1, 3, 5, 15, 53, 159, 265, 795

681 : 1, 3, 227, 681

207 : 1, 3, 9, 23, 69, 207

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

963 : 1, 3, 9, 107, 321, 963

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,681,207,288,963, is 3.

Now, the common factors can be found like this.

795:3x 5x 53

681:3x 227

207:3x 3x 23

288:2x 2x 2x 2x 2x 3x 3

963:3x 3x 107

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

3x 3x 3x 3x 3 = 243

Therefore, the value for common factors is 243.

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 = 31081599560160/(3x243)

LCM = 31081599560160/729

LCM = 42635939040

Thus, we can understand that the LCM of 795,681,207,288,963 is 42635939040.

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

• LCM of 538, 662, 947, 490, 447
• LCM of 468, 219, 839, 103, 669
• LCM of 484, 335, 121, 219, 607
• LCM of 559, 607, 203, 214, 801
• LCM of 611, 368, 987, 404, 484

1. What is the LCM of 795, 681, 207, 288, 963?

Answer: LCM of 795, 681, 207, 288, 963 is 42635939040.

2. How to calculate the LCM of 795, 681, 207, 288, 963?

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 795, 681, 207, 288, 963.

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}.