Given numbers are 924,564,861,363,375

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

The LCM of 924,564,861,363,375 is 2448253500.

Find LCM of 924,564,861,363,375 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 47 x 41 x 11 x 125 = 2448253500

Therefore, the lowest common multiple of 924,564,861,363,375 is 2448253500.

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 564 x 861 x 363 x 375 = 61079028318000

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

861 : 1, 3, 7, 21, 41, 123, 287, 861

363 : 1, 3, 11, 33, 121, 363

375 : 1, 3, 5, 15, 25, 75, 125, 375

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,564,861,363,375, is 3.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

564:2x 2x 3x 47

861:3x 7x 41

363:3x 11x 11

375:3x 5x 5x 5

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 3x 7x 11 = 8316

Therefore, the value for common factors is 8316.

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 = 61079028318000/(3x8316)

LCM = 61079028318000/24948

LCM = 2448253500

Thus, we can understand that the LCM of 924,564,861,363,375 is 2448253500.

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

• LCM of 685, 803, 582, 813, 199
• LCM of 250, 397, 119, 665, 759
• LCM of 653, 800, 821, 778, 101
• LCM of 589, 388, 419, 776, 407
• LCM of 449, 674, 163, 603, 242

1. What is the LCM of 924, 564, 861, 363, 375?

Answer: LCM of 924, 564, 861, 363, 375 is 2448253500.

2. How to calculate the LCM of 924, 564, 861, 363, 375?

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, 564, 861, 363, 375.

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}.