Given numbers are 960,386,470,536

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

The LCM of 960,386,470,536 is 583446720.

Find LCM of 960,386,470,536 with Prime Factorization

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

2 x 2 x 2 x 5 x 24 x 193 x 47 x 67 = 583446720

Therefore, the lowest common multiple of 960,386,470,536 is 583446720.

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 386 x 470 x 536 = 93351475200

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

386 : 1, 2, 193, 386

470 : 1, 2, 5, 10, 47, 94, 235, 470

536 : 1, 2, 4, 8, 67, 134, 268, 536

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,386,470,536, is 2.

Now, the common factors can be found like this.

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

386:2x 193

470:2x 5x 47

536:2x 2x 2x 67

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 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 93351475200/(2x80)

LCM = 93351475200/160

LCM = 583446720

Thus, we can understand that the LCM of 960,386,470,536 is 583446720.

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

• LCM of 465, 219, 538, 180
• LCM of 871, 354, 856, 701
• LCM of 544, 786, 428, 867
• LCM of 328, 595, 854, 920
• LCM of 105, 991, 740, 985

1. What is the LCM of 960, 386, 470, 536?

Answer: LCM of 960, 386, 470, 536 is 583446720.

2. How to calculate the LCM of 960, 386, 470, 536?

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, 386, 470, 536.

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}.