Given numbers are 924,284,528,386

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

The LCM of 924,284,528,386 is 50646288.

Find LCM of 924,284,528,386 with Prime Factorization

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

2 x 2 x 3 x 11 x 7 x 71 x 4 x 193 = 50646288

Therefore, the lowest common multiple of 924,284,528,386 is 50646288.

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 284 x 528 x 386 = 53482480128

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

284 : 1, 2, 4, 71, 142, 284

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

386 : 1, 2, 193, 386

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,284,528,386, is 2.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

284:2x 2x 71

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

386:2x 193

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 53482480128/(2x528)

LCM = 53482480128/1056

LCM = 50646288

Thus, we can understand that the LCM of 924,284,528,386 is 50646288.

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

• LCM of 975, 930, 495, 614
• LCM of 927, 234, 645, 705
• LCM of 767, 905, 492, 604
• LCM of 659, 144, 423, 930
• LCM of 757, 683, 133, 609

1. What is the LCM of 924, 284, 528, 386?

Answer: LCM of 924, 284, 528, 386 is 50646288.

2. How to calculate the LCM of 924, 284, 528, 386?

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, 284, 528, 386.

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}.