Given numbers are 486,860,936,261,366

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

The LCM of 486,860,936,261,366 is 9611826120.

Find LCM of 486,860,936,261,366 with Prime Factorization

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

2 x 2 x 3 x 3 x 27 x 215 x 26 x 29 x 61 = 9611826120

Therefore, the lowest common multiple of 486,860,936,261,366 is 9611826120.

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.

486 x 860 x 936 x 261 x 366 = 37370779954560

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

261 : 1, 3, 9, 29, 87, 261

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,860,936,261,366, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

860:2x 2x 5x 43

936:2x 2x 2x 3x 3x 13

261:3x 3x 29

366:2x 3x 61

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 37370779954560/(1x3888)

LCM = 37370779954560/3888

LCM = 9611826120

Thus, we can understand that the LCM of 486,860,936,261,366 is 9611826120.

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

• LCM of 192, 790, 944, 207, 507
• LCM of 256, 202, 605, 147, 900
• LCM of 107, 751, 593, 960, 983
• LCM of 192, 564, 789, 354, 554
• LCM of 429, 348, 709, 678, 377

1. What is the LCM of 486, 860, 936, 261, 366?

Answer: LCM of 486, 860, 936, 261, 366 is 9611826120.

2. How to calculate the LCM of 486, 860, 936, 261, 366?

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 486, 860, 936, 261, 366.

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}.