Given numbers are 924,882,484,264,489

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

The LCM of 924,882,484,264,489 is 69582744.

Find LCM of 924,882,484,264,489 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 1 x 21 x 11 x 2 x 163 = 69582744

Therefore, the lowest common multiple of 924,882,484,264,489 is 69582744.

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.

924 x 882 x 484 x 264 x 489 = 50921208721152

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,882,484,264,489, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

882:2x 3x 3x 7x 7

484:2x 2x 11x 11

264:2x 2x 2x 3x 11

489:3x 163

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 3x 7x 11x 11 = 731808

Therefore, the value for common factors is 731808.

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 = 50921208721152/(1x731808)

LCM = 50921208721152/731808

LCM = 69582744

Thus, we can understand that the LCM of 924,882,484,264,489 is 69582744.

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

• LCM of 674, 481, 450, 131, 274
• LCM of 553, 878, 880, 224, 395
• LCM of 185, 834, 398, 274, 872
• LCM of 751, 178, 176, 158, 454
• LCM of 707, 726, 993, 637, 687

1. What is the LCM of 924, 882, 484, 264, 489?

Answer: LCM of 924, 882, 484, 264, 489 is 69582744.

2. How to calculate the LCM of 924, 882, 484, 264, 489?

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 924, 882, 484, 264, 489.

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}.