Given numbers are 704,131,115,414

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

The LCM of 704,131,115,414 is 95451840.

Find LCM of 704,131,115,414 with Prime Factorization

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

2 x 23 x 352 x 131 x 5 x 9 = 95451840

Therefore, the lowest common multiple of 704,131,115,414 is 95451840.

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.

704 x 131 x 115 x 414 = 4390784640

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

131 : 1, 131

115 : 1, 5, 23, 115

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 704,131,115,414, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

131:131

115:5x 23

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 23 = 46

Therefore, the value for common factors is 46.

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 = 4390784640/(1x46)

LCM = 4390784640/46

LCM = 95451840

Thus, we can understand that the LCM of 704,131,115,414 is 95451840.

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

• LCM of 990, 404, 598, 537
• LCM of 833, 353, 411, 984
• LCM of 545, 356, 735, 862
• LCM of 137, 279, 567, 693
• LCM of 443, 773, 872, 105

1. What is the LCM of 704, 131, 115, 414?

Answer: LCM of 704, 131, 115, 414 is 95451840.

2. How to calculate the LCM of 704, 131, 115, 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 704, 131, 115, 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}.