Given numbers are 616,828,705,417,966

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

The LCM of 616,828,705,417,966 is 4165179480.

Find LCM of 616,828,705,417,966 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 22 x 3 x 235 x 139 x 1 = 4165179480

Therefore, the lowest common multiple of 616,828,705,417,966 is 4165179480.

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.

616 x 828 x 705 x 417 x 966 = 144848281596480

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

705 : 1, 3, 5, 15, 47, 141, 235, 705

417 : 1, 3, 139, 417

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,828,705,417,966, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

828:2x 2x 3x 3x 23

705:3x 5x 47

417:3x 139

966:2x 3x 7x 23

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 3x 3x 3x 7x 23 = 34776

Therefore, the value for common factors is 34776.

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 = 144848281596480/(1x34776)

LCM = 144848281596480/34776

LCM = 4165179480

Thus, we can understand that the LCM of 616,828,705,417,966 is 4165179480.

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

• LCM of 119, 435, 239, 606, 365
• LCM of 600, 263, 899, 109, 150
• LCM of 355, 301, 433, 778, 783
• LCM of 351, 152, 458, 893, 983
• LCM of 799, 385, 307, 239, 107

1. What is the LCM of 616, 828, 705, 417, 966?

Answer: LCM of 616, 828, 705, 417, 966 is 4165179480.

2. How to calculate the LCM of 616, 828, 705, 417, 966?

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 616, 828, 705, 417, 966.

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}.