Given numbers are 320,112,418,863,420

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

The LCM of 320,112,418,863,420 is 1212066240.

Find LCM of 320,112,418,863,420 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 4 x 1 x 209 x 863 x 3 = 1212066240

Therefore, the lowest common multiple of 320,112,418,863,420 is 1212066240.

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.

320 x 112 x 418 x 863 x 420 = 5430056755200

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

418 : 1, 2, 11, 19, 22, 38, 209, 418

863 : 1, 863

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,112,418,863,420, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

112:2x 2x 2x 2x 7

418:2x 11x 19

863:863

420:2x 2x 3x 5x 7

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 2x 2x 2x 5x 7 = 4480

Therefore, the value for common factors is 4480.

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 = 5430056755200/(1x4480)

LCM = 5430056755200/4480

LCM = 1212066240

Thus, we can understand that the LCM of 320,112,418,863,420 is 1212066240.

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

• LCM of 811, 427, 678, 956, 845
• LCM of 196, 914, 500, 535, 294
• LCM of 895, 450, 200, 431, 247
• LCM of 568, 897, 561, 358, 919
• LCM of 906, 322, 201, 694, 759

1. What is the LCM of 320, 112, 418, 863, 420?

Answer: LCM of 320, 112, 418, 863, 420 is 1212066240.

2. How to calculate the LCM of 320, 112, 418, 863, 420?

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 320, 112, 418, 863, 420.

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}.