Given numbers are 736,614,912

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

The LCM of 736,614,912 is 12879264.

Find LCM of 736,614,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 46 x 307 x 57 = 12879264

Therefore, the lowest common multiple of 736,614,912 is 12879264.

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.

736 x 614 x 912 = 412136448

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

614 : 1, 2, 307, 614

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,614,912, is 2.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

614:2x 307

912:2x 2x 2x 2x 3x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 412136448/(2x16)

LCM = 412136448/32

LCM = 12879264

Thus, we can understand that the LCM of 736,614,912 is 12879264.

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

• LCM of 362, 164, 392
• LCM of 407, 688, 182
• LCM of 266, 713, 681
• LCM of 160, 660, 869
• LCM of 700, 238, 970

1. What is the LCM of 736, 614, 912?

Answer: LCM of 736, 614, 912 is 12879264.

2. How to calculate the LCM of 736, 614, 912?

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 736, 614, 912.

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}.