Given numbers are 962,381,493,285,312

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

The LCM of 962,381,493,285,312 is 68664231480.

Find LCM of 962,381,493,285,312 with Prime Factorization

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

2 x 3 x 13 x 37 x 127 x 493 x 95 x 4 = 68664231480

Therefore, the lowest common multiple of 962,381,493,285,312 is 68664231480.

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.

962 x 381 x 493 x 285 x 312 = 16067430166320

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

381 : 1, 3, 127, 381

493 : 1, 17, 29, 493

285 : 1, 3, 5, 15, 19, 57, 95, 285

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,381,493,285,312, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

381:3x 127

493:17x 29

285:3x 5x 19

312:2x 2x 2x 3x 13

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

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 16067430166320/(1x234)

LCM = 16067430166320/234

LCM = 68664231480

Thus, we can understand that the LCM of 962,381,493,285,312 is 68664231480.

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

• LCM of 775, 931, 552, 225, 933
• LCM of 389, 350, 439, 267, 882
• LCM of 326, 369, 930, 899, 111
• LCM of 261, 522, 289, 348, 359
• LCM of 331, 204, 345, 247, 781

1. What is the LCM of 962, 381, 493, 285, 312?

Answer: LCM of 962, 381, 493, 285, 312 is 68664231480.

2. How to calculate the LCM of 962, 381, 493, 285, 312?

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 962, 381, 493, 285, 312.

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}.