Given numbers are 960,442,681,414

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

The LCM of 960,442,681,414 is 3323062080.

Find LCM of 960,442,681,414 with Prime Factorization

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

2 x 3 x 160 x 221 x 227 x 69 = 3323062080

Therefore, the lowest common multiple of 960,442,681,414 is 3323062080.

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.

960 x 442 x 681 x 414 = 119630234880

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

442 : 1, 2, 13, 17, 26, 34, 221, 442

681 : 1, 3, 227, 681

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 960,442,681,414, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

442:2x 13x 17

681:3x 227

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 119630234880/(1x36)

LCM = 119630234880/36

LCM = 3323062080

Thus, we can understand that the LCM of 960,442,681,414 is 3323062080.

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

• LCM of 762, 778, 918, 223
• LCM of 384, 752, 872, 851
• LCM of 724, 493, 634, 931
• LCM of 374, 229, 871, 678
• LCM of 266, 234, 123, 634

1. What is the LCM of 960, 442, 681, 414?

Answer: LCM of 960, 442, 681, 414 is 3323062080.

2. How to calculate the LCM of 960, 442, 681, 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 960, 442, 681, 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}.