Given numbers are 924,868,215,341,583

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

The LCM of 924,868,215,341,583 is 326398380.

Find LCM of 924,868,215,341,583 with Prime Factorization

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

2 x 2 x 7 x 11 x 31 x 3 x 1 x 215 x 1 x 53 = 326398380

Therefore, the lowest common multiple of 924,868,215,341,583 is 326398380.

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 868 x 215 x 341 x 583 = 34280969054640

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

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

215 : 1, 5, 43, 215

341 : 1, 11, 31, 341

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,868,215,341,583, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

868:2x 2x 7x 31

215:5x 43

341:11x 31

583:11x 53

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 7x 11x 11x 31 = 105028

Therefore, the value for common factors is 105028.

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 = 34280969054640/(1x105028)

LCM = 34280969054640/105028

LCM = 326398380

Thus, we can understand that the LCM of 924,868,215,341,583 is 326398380.

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

• LCM of 612, 420, 976, 340, 790
• LCM of 376, 816, 155, 793, 948
• LCM of 386, 660, 193, 159, 304
• LCM of 792, 116, 658, 320, 994
• LCM of 969, 338, 860, 233, 594

1. What is the LCM of 924, 868, 215, 341, 583?

Answer: LCM of 924, 868, 215, 341, 583 is 326398380.

2. How to calculate the LCM of 924, 868, 215, 341, 583?

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, 868, 215, 341, 583.

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}.