Given numbers are 577,513,528,828

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

The LCM of 577,513,528,828 is 1198212048.

Find LCM of 577,513,528,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 577 x 57 x 44 x 23 = 1198212048

Therefore, the lowest common multiple of 577,513,528,828 is 1198212048.

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.

577 x 513 x 528 x 828 = 129406901184

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.

577 : 1, 577

513 : 1, 3, 9, 19, 27, 57, 171, 513

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,513,528,828, is 1.

Now, the common factors can be found like this.

577:577

513:3x 3x 3x 19

528:2x 2x 2x 2x 3x 11

828:2x 2x 3x 3x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 129406901184/(1x108)

LCM = 129406901184/108

LCM = 1198212048

Thus, we can understand that the LCM of 577,513,528,828 is 1198212048.

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

• LCM of 786, 361, 575, 953
• LCM of 367, 453, 254, 925
• LCM of 306, 628, 945, 968
• LCM of 941, 454, 274, 536
• LCM of 796, 702, 817, 389

1. What is the LCM of 577, 513, 528, 828?

Answer: LCM of 577, 513, 528, 828 is 1198212048.

2. How to calculate the LCM of 577, 513, 528, 828?

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 577, 513, 528, 828.

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}.