Given numbers are 684,570,564,364,982

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

The LCM of 684,570,564,364,982 is 7182023940.

Find LCM of 684,570,564,364,982 with Prime Factorization

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

2 x 2 x 3 x 19 x 3 x 5 x 47 x 91 x 491 = 7182023940

Therefore, the lowest common multiple of 684,570,564,364,982 is 7182023940.

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.

684 x 570 x 564 x 364 x 982 = 78600069999360

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

982 : 1, 2, 491, 982

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,570,564,364,982, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

570:2x 3x 5x 19

564:2x 2x 3x 47

364:2x 2x 7x 13

982:2x 491

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 19 = 5472

Therefore, the value for common factors is 5472.

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 = 78600069999360/(2x5472)

LCM = 78600069999360/10944

LCM = 7182023940

Thus, we can understand that the LCM of 684,570,564,364,982 is 7182023940.

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

• LCM of 774, 855, 571, 445, 671
• LCM of 502, 561, 774, 244, 305
• LCM of 648, 777, 480, 396, 760
• LCM of 729, 723, 993, 995, 373
• LCM of 140, 646, 617, 529, 178

1. What is the LCM of 684, 570, 564, 364, 982?

Answer: LCM of 684, 570, 564, 364, 982 is 7182023940.

2. How to calculate the LCM of 684, 570, 564, 364, 982?

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 684, 570, 564, 364, 982.

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}.