Given numbers are 52,12,46,965

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

The LCM of 52,12,46,965 is 3462420.

Find LCM of 52,12,46,965 with Prime Factorization

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

2 x 2 x 13 x 3 x 23 x 965 = 3462420

Therefore, the lowest common multiple of 52,12,46,965 is 3462420.

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.

52 x 12 x 46 x 965 = 27699360

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.

52 : 1, 2, 4, 13, 26, 52

12 : 1, 2, 3, 4, 6, 12

46 : 1, 2, 23, 46

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 52,12,46,965, is 1.

Now, the common factors can be found like this.

52:2x 2x 13

12:2x 2x 3

46:2x 23

965:5x 193

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 = 27699360/(1x8)

LCM = 27699360/8

LCM = 3462420

Thus, we can understand that the LCM of 52,12,46,965 is 3462420.

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

• LCM of 81, 32, 40, 451
• LCM of 97, 72, 69, 777
• LCM of 77, 66, 93, 398
• LCM of 76, 33, 15, 466
• LCM of 74, 49, 81, 542

1. What is the LCM of 52, 12, 46, 965?

Answer: LCM of 52, 12, 46, 965 is 3462420.

2. How to calculate the LCM of 52, 12, 46, 965?

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 52, 12, 46, 965.

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}.