Given numbers are 461,743,221,321,966

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

The LCM of 461,743,221,321,966 is 7824253574046.

Find LCM of 461,743,221,321,966 with Prime Factorization

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

3 x 461 x 743 x 221 x 107 x 322 = 7824253574046

Therefore, the lowest common multiple of 461,743,221,321,966 is 7824253574046.

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.

461 x 743 x 221 x 321 x 966 = 23472760722138

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.

461 : 1, 461

743 : 1, 743

221 : 1, 13, 17, 221

321 : 1, 3, 107, 321

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 461,743,221,321,966, is 1.

Now, the common factors can be found like this.

461:461

743:743

221:13x 17

321:3x 107

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 23472760722138/(1x3)

LCM = 23472760722138/3

LCM = 7824253574046

Thus, we can understand that the LCM of 461,743,221,321,966 is 7824253574046.

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

• LCM of 993, 540, 804, 698, 195
• LCM of 314, 167, 587, 513, 823
• LCM of 502, 565, 125, 218, 397
• LCM of 455, 328, 307, 327, 454
• LCM of 669, 646, 480, 179, 915

1. What is the LCM of 461, 743, 221, 321, 966?

Answer: LCM of 461, 743, 221, 321, 966 is 7824253574046.

2. How to calculate the LCM of 461, 743, 221, 321, 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 461, 743, 221, 321, 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}.