Given numbers are 715,660,920,996,984

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

The LCM of 715,660,920,996,984 is 1343096040.

Find LCM of 715,660,920,996,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 13 x 1 x 23 x 83 x 41 = 1343096040

Therefore, the lowest common multiple of 715,660,920,996,984 is 1343096040.

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.

715 x 660 x 920 x 996 x 984 = 425492825472000

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,660,920,996,984, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

660:2x 2x 3x 5x 11

920:2x 2x 2x 5x 23

996:2x 2x 3x 83

984:2x 2x 2x 3x 41

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 2x 2x 3x 3x 5x 5x 11 = 316800

Therefore, the value for common factors is 316800.

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 = 425492825472000/(1x316800)

LCM = 425492825472000/316800

LCM = 1343096040

Thus, we can understand that the LCM of 715,660,920,996,984 is 1343096040.

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

• LCM of 579, 978, 382, 246, 820
• LCM of 478, 339, 266, 143, 702
• LCM of 440, 632, 569, 950, 566
• LCM of 935, 229, 985, 551, 531
• LCM of 702, 208, 162, 291, 747

1. What is the LCM of 715, 660, 920, 996, 984?

Answer: LCM of 715, 660, 920, 996, 984 is 1343096040.

2. How to calculate the LCM of 715, 660, 920, 996, 984?

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 715, 660, 920, 996, 984.

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}.