Given numbers are 578,442,804,316,810

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

The LCM of 578,442,804,316,810 is 32214997620.

Find LCM of 578,442,804,316,810 with Prime Factorization

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

2 x 2 x 3 x 17 x 17 x 13 x 67 x 79 x 135 = 32214997620

Therefore, the lowest common multiple of 578,442,804,316,810 is 32214997620.

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.

578 x 442 x 804 x 316 x 810 = 52574876115840

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.

578 : 1, 2, 17, 34, 289, 578

442 : 1, 2, 13, 17, 26, 34, 221, 442

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

316 : 1, 2, 4, 79, 158, 316

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,442,804,316,810, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

442:2x 13x 17

804:2x 2x 3x 67

316:2x 2x 79

810:2x 3x 3x 3x 3x 5

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 17 = 816

Therefore, the value for common factors is 816.

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 = 52574876115840/(2x816)

LCM = 52574876115840/1632

LCM = 32214997620

Thus, we can understand that the LCM of 578,442,804,316,810 is 32214997620.

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

• LCM of 194, 778, 540, 195, 216
• LCM of 446, 230, 945, 601, 507
• LCM of 363, 238, 667, 639, 141
• LCM of 103, 921, 499, 779, 852
• LCM of 795, 861, 752, 140, 503

1. What is the LCM of 578, 442, 804, 316, 810?

Answer: LCM of 578, 442, 804, 316, 810 is 32214997620.

2. How to calculate the LCM of 578, 442, 804, 316, 810?

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 578, 442, 804, 316, 810.

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}.