Given numbers are 624,706,912,744

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

The LCM of 624,706,912,744 is 129740208.

Find LCM of 624,706,912,744 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 353 x 19 x 31 = 129740208

Therefore, the lowest common multiple of 624,706,912,744 is 129740208.

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.

624 x 706 x 912 x 744 = 298921439232

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.

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

706 : 1, 2, 353, 706

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,706,912,744, is 2.

Now, the common factors can be found like this.

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

706:2x 353

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

744:2x 2x 2x 3x 31

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 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 298921439232/(2x1152)

LCM = 298921439232/2304

LCM = 129740208

Thus, we can understand that the LCM of 624,706,912,744 is 129740208.

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

• LCM of 572, 846, 921, 886
• LCM of 320, 744, 591, 231
• LCM of 926, 931, 809, 140
• LCM of 711, 791, 948, 437
• LCM of 417, 478, 285, 424

1. What is the LCM of 624, 706, 912, 744?

Answer: LCM of 624, 706, 912, 744 is 129740208.

2. How to calculate the LCM of 624, 706, 912, 744?

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 624, 706, 912, 744.

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}.