Given numbers are 207,303,936,953,920

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

The LCM of 207,303,936,953,920 is 10360672920.

Find LCM of 207,303,936,953,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 1 x 101 x 13 x 953 x 5 = 10360672920

Therefore, the lowest common multiple of 207,303,936,953,920 is 10360672920.

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.

207 x 303 x 936 x 953 x 920 = 51471823066560

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.

207 : 1, 3, 9, 23, 69, 207

303 : 1, 3, 101, 303

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

953 : 1, 953

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,303,936,953,920, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

303:3x 101

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

953:953

920:2x 2x 2x 5x 23

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 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 51471823066560/(1x4968)

LCM = 51471823066560/4968

LCM = 10360672920

Thus, we can understand that the LCM of 207,303,936,953,920 is 10360672920.

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

• LCM of 244, 792, 667, 450, 782
• LCM of 249, 199, 770, 906, 140
• LCM of 957, 525, 364, 457, 610
• LCM of 477, 179, 501, 293, 884
• LCM of 771, 759, 136, 362, 250

1. What is the LCM of 207, 303, 936, 953, 920?

Answer: LCM of 207, 303, 936, 953, 920 is 10360672920.

2. How to calculate the LCM of 207, 303, 936, 953, 920?

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 207, 303, 936, 953, 920.

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}.