Given numbers are 914,624,716

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

The LCM of 914,624,716 is 51045072.

Find LCM of 914,624,716 with Prime Factorization

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

2 x 2 x 457 x 156 x 179 = 51045072

Therefore, the lowest common multiple of 914,624,716 is 51045072.

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.

914 x 624 x 716 = 408360576

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.

914 : 1, 2, 457, 914

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

716 : 1, 2, 4, 179, 358, 716

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,624,716, is 2.

Now, the common factors can be found like this.

914:2x 457

624:2x 2x 2x 2x 3x 13

716:2x 2x 179

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 408360576/(2x4)

LCM = 408360576/8

LCM = 51045072

Thus, we can understand that the LCM of 914,624,716 is 51045072.

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

• LCM of 570, 501, 275
• LCM of 342, 796, 400
• LCM of 776, 640, 599
• LCM of 149, 751, 182
• LCM of 794, 978, 714

1. What is the LCM of 914, 624, 716?

Answer: LCM of 914, 624, 716 is 51045072.

2. How to calculate the LCM of 914, 624, 716?

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 914, 624, 716.

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}.