Given numbers are 965,75,413

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

The LCM of 965,75,413 is 5978175.

Find LCM of 965,75,413 with Prime Factorization

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

5 x 193 x 15 x 413 = 5978175

Therefore, the lowest common multiple of 965,75,413 is 5978175.

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 75 x 413 = 29890875

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

75 : 1, 3, 5, 15, 25, 75

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,75,413, is 1.

Now, the common factors can be found like this.

965:5x 193

75:3x 5x 5

413:7x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 29890875/(1x5)

LCM = 29890875/5

LCM = 5978175

Thus, we can understand that the LCM of 965,75,413 is 5978175.

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

• LCM of 486, 36, 236
• LCM of 161, 82, 571
• LCM of 121, 30, 600
• LCM of 371, 96, 482
• LCM of 970, 68, 294

1. What is the LCM of 965, 75, 413?

Answer: LCM of 965, 75, 413 is 5978175.

2. How to calculate the LCM of 965, 75, 413?

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, 75, 413.

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}.