Given numbers are 816,461,171,596,708

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

The LCM of 816,461,171,596,708 is 188496903312.

Find LCM of 816,461,171,596,708 with Prime Factorization

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

2 x 2 x 3 x 68 x 461 x 57 x 149 x 59 = 188496903312

Therefore, the lowest common multiple of 816,461,171,596,708 is 188496903312.

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 461 x 171 x 596 x 708 = 27143554076928

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

461 : 1, 461

171 : 1, 3, 9, 19, 57, 171

596 : 1, 2, 4, 149, 298, 596

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,461,171,596,708, is 1.

Now, the common factors can be found like this.

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

461:461

171:3x 3x 19

596:2x 2x 149

708:2x 2x 3x 59

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 3 = 144

Therefore, the value for common factors is 144.

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 = 27143554076928/(1x144)

LCM = 27143554076928/144

LCM = 188496903312

Thus, we can understand that the LCM of 816,461,171,596,708 is 188496903312.

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

• LCM of 911, 170, 998, 774, 773
• LCM of 636, 699, 379, 487, 223
• LCM of 693, 484, 308, 332, 636
• LCM of 253, 335, 915, 661, 650
• LCM of 301, 864, 197, 399, 578

1. What is the LCM of 816, 461, 171, 596, 708?

Answer: LCM of 816, 461, 171, 596, 708 is 188496903312.

2. How to calculate the LCM of 816, 461, 171, 596, 708?

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, 461, 171, 596, 708.

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}.