Given numbers are 965,742,414

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

The LCM of 965,742,414 is 148218210.

Find LCM of 965,742,414 with Prime Factorization

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

2 x 965 x 371 x 207 = 148218210

Therefore, the lowest common multiple of 965,742,414 is 148218210.

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.

965 x 742 x 414 = 296436420

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.

965 : 1, 5, 193, 965

742 : 1, 2, 7, 14, 53, 106, 371, 742

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 965,742,414, is 1.

Now, the common factors can be found like this.

965:5x 193

742:2x 7x 53

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 296436420/(1x2)

LCM = 296436420/2

LCM = 148218210

Thus, we can understand that the LCM of 965,742,414 is 148218210.

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

• LCM of 216, 574, 683
• LCM of 489, 668, 946
• LCM of 280, 860, 840
• LCM of 511, 901, 500
• LCM of 277, 554, 394

1. What is the LCM of 965, 742, 414?

Answer: LCM of 965, 742, 414 is 148218210.

2. How to calculate the LCM of 965, 742, 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 965, 742, 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}.