Given numbers are 816,956,609,838,986

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

The LCM of 816,956,609,838,986 is 16588156368.

Find LCM of 816,956,609,838,986 with Prime Factorization

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

2 x 2 x 3 x 17 x 29 x 4 x 239 x 7 x 419 x 1 = 16588156368

Therefore, the lowest common multiple of 816,956,609,838,986 is 16588156368.

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 956 x 609 x 838 x 986 = 392542132292352

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

956 : 1, 2, 4, 239, 478, 956

609 : 1, 3, 7, 21, 29, 87, 203, 609

838 : 1, 2, 419, 838

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,956,609,838,986, is 1.

Now, the common factors can be found like this.

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

956:2x 2x 239

609:3x 7x 29

838:2x 419

986:2x 17x 29

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 3x 17x 29 = 23664

Therefore, the value for common factors is 23664.

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 = 392542132292352/(1x23664)

LCM = 392542132292352/23664

LCM = 16588156368

Thus, we can understand that the LCM of 816,956,609,838,986 is 16588156368.

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

• LCM of 149, 728, 150, 563, 688
• LCM of 897, 808, 695, 387, 542
• LCM of 267, 968, 553, 420, 646
• LCM of 660, 328, 519, 685, 602
• LCM of 525, 226, 943, 707, 619

1. What is the LCM of 816, 956, 609, 838, 986?

Answer: LCM of 816, 956, 609, 838, 986 is 16588156368.

2. How to calculate the LCM of 816, 956, 609, 838, 986?

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, 956, 609, 838, 986.

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}.