Given numbers are 924,936,570,553,557

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

The LCM of 924,936,570,553,557 is 301281500520.

Find LCM of 924,936,570,553,557 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 78 x 95 x 79 x 557 = 301281500520

Therefore, the lowest common multiple of 924,936,570,553,557 is 301281500520.

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 936 x 570 x 553 x 557 = 151845876262080

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

553 : 1, 7, 79, 553

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,936,570,553,557, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

936:2x 2x 2x 3x 3x 13

570:2x 3x 5x 19

553:7x 79

557:557

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 151845876262080/(1x504)

LCM = 151845876262080/504

LCM = 301281500520

Thus, we can understand that the LCM of 924,936,570,553,557 is 301281500520.

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

• LCM of 360, 663, 970, 712, 662
• LCM of 350, 503, 259, 760, 957
• LCM of 667, 313, 998, 628, 328
• LCM of 629, 587, 923, 333, 223
• LCM of 114, 709, 200, 514, 535

1. What is the LCM of 924, 936, 570, 553, 557?

Answer: LCM of 924, 936, 570, 553, 557 is 301281500520.

2. How to calculate the LCM of 924, 936, 570, 553, 557?

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, 936, 570, 553, 557.

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}.