Given numbers are 816,594,374,468,438

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

The LCM of 816,594,374,468,438 is 76664016.

Find LCM of 816,594,374,468,438 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 17 x 4 x 3 x 1 x 13 x 73 = 76664016

Therefore, the lowest common multiple of 816,594,374,468,438 is 76664016.

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 594 x 374 x 468 x 438 = 37159355211264

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

374 : 1, 2, 11, 17, 22, 34, 187, 374

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,594,374,468,438, is 2.

Now, the common factors can be found like this.

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

594:2x 3x 3x 3x 11

374:2x 11x 17

468:2x 2x 3x 3x 13

438:2x 3x 73

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 3x 3x 3x 11x 17 = 242352

Therefore, the value for common factors is 242352.

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 = 37159355211264/(2x242352)

LCM = 37159355211264/484704

LCM = 76664016

Thus, we can understand that the LCM of 816,594,374,468,438 is 76664016.

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

• LCM of 872, 788, 855, 159, 112
• LCM of 950, 743, 432, 928, 542
• LCM of 596, 206, 803, 725, 806
• LCM of 854, 251, 902, 970, 429
• LCM of 521, 603, 829, 904, 641

1. What is the LCM of 816, 594, 374, 468, 438?

Answer: LCM of 816, 594, 374, 468, 438 is 76664016.

2. How to calculate the LCM of 816, 594, 374, 468, 438?

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, 594, 374, 468, 438.

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}.