Given numbers are 528,285,507,497,418

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

The LCM of 528,285,507,497,418 is 4213088880.

Find LCM of 528,285,507,497,418 with Prime Factorization

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

2 x 3 x 11 x 19 x 8 x 5 x 169 x 497 x 1 = 4213088880

Therefore, the lowest common multiple of 528,285,507,497,418 is 4213088880.

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.

528 x 285 x 507 x 497 x 418 = 15849640366560

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.

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

285 : 1, 3, 5, 15, 19, 57, 95, 285

507 : 1, 3, 13, 39, 169, 507

497 : 1, 7, 71, 497

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,285,507,497,418, is 1.

Now, the common factors can be found like this.

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

285:3x 5x 19

507:3x 13x 13

497:7x 71

418:2x 11x 19

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 3x 11x 19 = 3762

Therefore, the value for common factors is 3762.

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 = 15849640366560/(1x3762)

LCM = 15849640366560/3762

LCM = 4213088880

Thus, we can understand that the LCM of 528,285,507,497,418 is 4213088880.

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

• LCM of 512, 969, 949, 365, 811
• LCM of 969, 431, 171, 984, 342
• LCM of 198, 422, 819, 951, 895
• LCM of 736, 655, 339, 693, 822
• LCM of 910, 551, 133, 849, 827

1. What is the LCM of 528, 285, 507, 497, 418?

Answer: LCM of 528, 285, 507, 497, 418 is 4213088880.

2. How to calculate the LCM of 528, 285, 507, 497, 418?

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 528, 285, 507, 497, 418.

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}.