Given numbers are 816,708,840,715

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

The LCM of 816,708,840,715 is 240960720.

Find LCM of 816,708,840,715 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 34 x 59 x 7 x 143 = 240960720

Therefore, the lowest common multiple of 816,708,840,715 is 240960720.

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.

816 x 708 x 840 x 715 = 346983436800

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,708,840,715, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

708:2x 2x 3x 59

840:2x 2x 2x 3x 5x 7

715:5x 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 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 346983436800/(1x1440)

LCM = 346983436800/1440

LCM = 240960720

Thus, we can understand that the LCM of 816,708,840,715 is 240960720.

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

• LCM of 539, 296, 894, 289
• LCM of 191, 184, 557, 938
• LCM of 123, 767, 740, 494
• LCM of 801, 379, 501, 229
• LCM of 298, 222, 981, 734

1. What is the LCM of 816, 708, 840, 715?

Answer: LCM of 816, 708, 840, 715 is 240960720.

2. How to calculate the LCM of 816, 708, 840, 715?

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 816, 708, 840, 715.

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}.