Given numbers are 513,471,629,410,528

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

The LCM of 513,471,629,410,528 is 1827823227120.

Find LCM of 513,471,629,410,528 with Prime Factorization

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

2 x 3 x 171 x 157 x 629 x 205 x 88 = 1827823227120

Therefore, the lowest common multiple of 513,471,629,410,528 is 1827823227120.

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.

513 x 471 x 629 x 410 x 528 = 32900818088160

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.

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

471 : 1, 3, 157, 471

629 : 1, 17, 37, 629

410 : 1, 2, 5, 10, 41, 82, 205, 410

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,471,629,410,528, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

471:3x 157

629:17x 37

410:2x 5x 41

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

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 32900818088160/(1x18)

LCM = 32900818088160/18

LCM = 1827823227120

Thus, we can understand that the LCM of 513,471,629,410,528 is 1827823227120.

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

• LCM of 685, 656, 803, 809, 237
• LCM of 462, 232, 867, 900, 632
• LCM of 973, 220, 543, 309, 523
• LCM of 374, 900, 709, 585, 292
• LCM of 217, 524, 558, 639, 672

1. What is the LCM of 513, 471, 629, 410, 528?

Answer: LCM of 513, 471, 629, 410, 528 is 1827823227120.

2. How to calculate the LCM of 513, 471, 629, 410, 528?

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 513, 471, 629, 410, 528.

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}.