Given numbers are 858,144,420,417

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

The LCM of 858,144,420,417 is 100180080.

Find LCM of 858,144,420,417 with Prime Factorization

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

2 x 2 x 3 x 143 x 12 x 35 x 139 = 100180080

Therefore, the lowest common multiple of 858,144,420,417 is 100180080.

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.

858 x 144 x 420 x 417 = 21638897280

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

417 : 1, 3, 139, 417

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,144,420,417, is 3.

Now, the common factors can be found like this.

858:2x 3x 11x 13

144:2x 2x 2x 2x 3x 3

420:2x 2x 3x 5x 7

417:3x 139

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 21638897280/(3x72)

LCM = 21638897280/216

LCM = 100180080

Thus, we can understand that the LCM of 858,144,420,417 is 100180080.

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

• LCM of 670, 999, 177, 710
• LCM of 460, 422, 451, 389
• LCM of 944, 898, 777, 887
• LCM of 196, 887, 699, 502
• LCM of 794, 316, 942, 404

1. What is the LCM of 858, 144, 420, 417?

Answer: LCM of 858, 144, 420, 417 is 100180080.

2. How to calculate the LCM of 858, 144, 420, 417?

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 858, 144, 420, 417.

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}.