Given numbers are 468,986,581,442,742

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

The LCM of 468,986,581,442,742 is 7104684132.

Find LCM of 468,986,581,442,742 with Prime Factorization

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

2 x 7 x 13 x 17 x 18 x 29 x 83 x 1 x 53 = 7104684132

Therefore, the lowest common multiple of 468,986,581,442,742 is 7104684132.

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.

468 x 986 x 581 x 442 x 742 = 87927570817632

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.

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

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

581 : 1, 7, 83, 581

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,986,581,442,742, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

986:2x 17x 29

581:7x 83

442:2x 13x 17

742:2x 7x 53

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 7x 13x 17 = 12376

Therefore, the value for common factors is 12376.

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 = 87927570817632/(1x12376)

LCM = 87927570817632/12376

LCM = 7104684132

Thus, we can understand that the LCM of 468,986,581,442,742 is 7104684132.

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

• LCM of 178, 486, 574, 303, 219
• LCM of 386, 775, 611, 234, 547
• LCM of 413, 206, 272, 819, 404
• LCM of 216, 611, 291, 744, 432
• LCM of 274, 578, 181, 962, 865

1. What is the LCM of 468, 986, 581, 442, 742?

Answer: LCM of 468, 986, 581, 442, 742 is 7104684132.

2. How to calculate the LCM of 468, 986, 581, 442, 742?

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 468, 986, 581, 442, 742.

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}.