Given numbers are 856,693,460,638,816

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

The LCM of 856,693,460,638,816 is 67263855120.

Find LCM of 856,693,460,638,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 107 x 21 x 115 x 29 x 34 = 67263855120

Therefore, the lowest common multiple of 856,693,460,638,816 is 67263855120.

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.

856 x 693 x 460 x 638 x 816 = 142061262013440

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

638 : 1, 2, 11, 22, 29, 58, 319, 638

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,693,460,638,816, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

693:3x 3x 7x 11

460:2x 2x 5x 23

638:2x 11x 29

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

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 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 142061262013440/(1x2112)

LCM = 142061262013440/2112

LCM = 67263855120

Thus, we can understand that the LCM of 856,693,460,638,816 is 67263855120.

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

• LCM of 865, 448, 154, 171, 998
• LCM of 618, 795, 448, 669, 650
• LCM of 587, 282, 782, 857, 714
• LCM of 864, 169, 966, 184, 616
• LCM of 807, 754, 596, 967, 878

1. What is the LCM of 856, 693, 460, 638, 816?

Answer: LCM of 856, 693, 460, 638, 816 is 67263855120.

2. How to calculate the LCM of 856, 693, 460, 638, 816?

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 856, 693, 460, 638, 816.

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}.