Given numbers are 585,461,506,746

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

The LCM of 585,461,506,746 is 50899807530.

Find LCM of 585,461,506,746 with Prime Factorization

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

2 x 585 x 461 x 253 x 373 = 50899807530

Therefore, the lowest common multiple of 585,461,506,746 is 50899807530.

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.

585 x 461 x 506 x 746 = 101799615060

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

461 : 1, 461

506 : 1, 2, 11, 22, 23, 46, 253, 506

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,461,506,746, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

461:461

506:2x 11x 23

746:2x 373

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 101799615060/(1x2)

LCM = 101799615060/2

LCM = 50899807530

Thus, we can understand that the LCM of 585,461,506,746 is 50899807530.

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

• LCM of 783, 721, 250, 752
• LCM of 173, 676, 313, 471
• LCM of 113, 980, 139, 177
• LCM of 368, 300, 810, 171
• LCM of 471, 787, 620, 951

1. What is the LCM of 585, 461, 506, 746?

Answer: LCM of 585, 461, 506, 746 is 50899807530.

2. How to calculate the LCM of 585, 461, 506, 746?

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 585, 461, 506, 746.

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}.