Given numbers are 514,828,585,736

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

The LCM of 514,828,585,736 is 110653920.

Find LCM of 514,828,585,736 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 257 x 1 x 65 x 8 = 110653920

Therefore, the lowest common multiple of 514,828,585,736 is 110653920.

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.

514 x 828 x 585 x 736 = 183242891520

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.

514 : 1, 2, 257, 514

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,828,585,736, is 1.

Now, the common factors can be found like this.

514:2x 257

828:2x 2x 3x 3x 23

585:3x 3x 5x 13

736:2x 2x 2x 2x 2x 23

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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 183242891520/(1x1656)

LCM = 183242891520/1656

LCM = 110653920

Thus, we can understand that the LCM of 514,828,585,736 is 110653920.

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

• LCM of 540, 516, 662, 559
• LCM of 427, 360, 179, 820
• LCM of 161, 616, 603, 145
• LCM of 942, 860, 716, 900
• LCM of 708, 196, 732, 411

1. What is the LCM of 514, 828, 585, 736?

Answer: LCM of 514, 828, 585, 736 is 110653920.

2. How to calculate the LCM of 514, 828, 585, 736?

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 514, 828, 585, 736.

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}.