Given numbers are 756,880,772,936

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

The LCM of 756,880,772,936 is 417296880.

Find LCM of 756,880,772,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 21 x 110 x 193 x 13 = 417296880

Therefore, the lowest common multiple of 756,880,772,936 is 417296880.

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.

756 x 880 x 772 x 936 = 480726005760

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

772 : 1, 2, 4, 193, 386, 772

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,880,772,936, is 4.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

880:2x 2x 2x 2x 5x 11

772:2x 2x 193

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

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 480726005760/(4x288)

LCM = 480726005760/1152

LCM = 417296880

Thus, we can understand that the LCM of 756,880,772,936 is 417296880.

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

• LCM of 626, 379, 617, 303
• LCM of 893, 473, 633, 812
• LCM of 486, 433, 502, 375
• LCM of 803, 801, 241, 449
• LCM of 667, 521, 575, 870

1. What is the LCM of 756, 880, 772, 936?

Answer: LCM of 756, 880, 772, 936 is 417296880.

2. How to calculate the LCM of 756, 880, 772, 936?

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 756, 880, 772, 936.

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}.