Given numbers are 528,283,264,890,510

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

The LCM of 528,283,264,890,510 is 1130392560.

Find LCM of 528,283,264,890,510 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 1 x 283 x 2 x 89 x 17 = 1130392560

Therefore, the lowest common multiple of 528,283,264,890,510 is 1130392560.

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 283 x 264 x 890 x 510 = 17905418150400

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

283 : 1, 283

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,283,264,890,510, is 1.

Now, the common factors can be found like this.

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

283:283

264:2x 2x 2x 3x 11

890:2x 5x 89

510:2x 3x 5x 17

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 2x 2x 3x 3x 5x 11 = 15840

Therefore, the value for common factors is 15840.

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 = 17905418150400/(1x15840)

LCM = 17905418150400/15840

LCM = 1130392560

Thus, we can understand that the LCM of 528,283,264,890,510 is 1130392560.

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

• LCM of 694, 931, 446, 399, 931
• LCM of 758, 394, 934, 644, 269
• LCM of 199, 375, 892, 727, 565
• LCM of 711, 576, 770, 401, 516
• LCM of 814, 626, 478, 131, 936

1. What is the LCM of 528, 283, 264, 890, 510?

Answer: LCM of 528, 283, 264, 890, 510 is 1130392560.

2. How to calculate the LCM of 528, 283, 264, 890, 510?

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, 283, 264, 890, 510.

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}.