Given numbers are 624,284,652,561,714

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

The LCM of 624,284,652,561,714 is 9453011568.

Find LCM of 624,284,652,561,714 with Prime Factorization

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

2 x 2 x 3 x 17 x 52 x 71 x 163 x 11 x 7 = 9453011568

Therefore, the lowest common multiple of 624,284,652,561,714 is 9453011568.

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 284 x 652 x 561 x 714 = 46281944636928

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

284 : 1, 2, 4, 71, 142, 284

652 : 1, 2, 4, 163, 326, 652

561 : 1, 3, 11, 17, 33, 51, 187, 561

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,284,652,561,714, is 1.

Now, the common factors can be found like this.

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

284:2x 2x 71

652:2x 2x 163

561:3x 11x 17

714:2x 3x 7x 17

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 3x 17 = 4896

Therefore, the value for common factors is 4896.

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 = 46281944636928/(1x4896)

LCM = 46281944636928/4896

LCM = 9453011568

Thus, we can understand that the LCM of 624,284,652,561,714 is 9453011568.

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

• LCM of 567, 846, 536, 827, 650
• LCM of 547, 264, 830, 891, 984
• LCM of 339, 992, 813, 982, 262
• LCM of 631, 291, 344, 223, 609
• LCM of 867, 187, 940, 906, 830

1. What is the LCM of 624, 284, 652, 561, 714?

Answer: LCM of 624, 284, 652, 561, 714 is 9453011568.

2. How to calculate the LCM of 624, 284, 652, 561, 714?

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, 284, 652, 561, 714.

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}.