Given numbers are 318,862,351,312,981

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

The LCM of 318,862,351,312,981 is 6991602696.

Find LCM of 318,862,351,312,981 with Prime Factorization

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

2 x 3 x 3 x 13 x 53 x 431 x 3 x 4 x 109 = 6991602696

Therefore, the lowest common multiple of 318,862,351,312,981 is 6991602696.

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.

318 x 862 x 351 x 312 x 981 = 29448630555552

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

862 : 1, 2, 431, 862

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,862,351,312,981, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

862:2x 431

351:3x 3x 3x 13

312:2x 2x 2x 3x 13

981:3x 3x 109

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 3x 3x 3x 13 = 4212

Therefore, the value for common factors is 4212.

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 = 29448630555552/(1x4212)

LCM = 29448630555552/4212

LCM = 6991602696

Thus, we can understand that the LCM of 318,862,351,312,981 is 6991602696.

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

• LCM of 200, 193, 984, 210, 502
• LCM of 429, 940, 697, 273, 996
• LCM of 299, 384, 233, 324, 669
• LCM of 827, 286, 639, 510, 864
• LCM of 362, 131, 144, 154, 536

1. What is the LCM of 318, 862, 351, 312, 981?

Answer: LCM of 318, 862, 351, 312, 981 is 6991602696.

2. How to calculate the LCM of 318, 862, 351, 312, 981?

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 318, 862, 351, 312, 981.

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}.