Given numbers are 731,562,968,194,414

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

The LCM of 731,562,968,194,414 is 3992465149992.

Find LCM of 731,562,968,194,414 with Prime Factorization

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

2 x 731 x 281 x 484 x 97 x 207 = 3992465149992

Therefore, the lowest common multiple of 731,562,968,194,414 is 3992465149992.

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.

731 x 562 x 968 x 194 x 414 = 31939721199936

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.

731 : 1, 17, 43, 731

562 : 1, 2, 281, 562

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

194 : 1, 2, 97, 194

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,562,968,194,414, is 1.

Now, the common factors can be found like this.

731:17x 43

562:2x 281

968:2x 2x 2x 11x 11

194:2x 97

414:2x 3x 3x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 31939721199936/(1x8)

LCM = 31939721199936/8

LCM = 3992465149992

Thus, we can understand that the LCM of 731,562,968,194,414 is 3992465149992.

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

• LCM of 287, 997, 213, 935, 577
• LCM of 448, 843, 481, 602, 264
• LCM of 121, 949, 341, 889, 764
• LCM of 831, 566, 992, 602, 583
• LCM of 732, 362, 711, 511, 206

1. What is the LCM of 731, 562, 968, 194, 414?

Answer: LCM of 731, 562, 968, 194, 414 is 3992465149992.

2. How to calculate the LCM of 731, 562, 968, 194, 414?

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 731, 562, 968, 194, 414.

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}.