Given numbers are 420,228,111,717,987

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

The LCM of 420,228,111,717,987 is 3316655580.

Find LCM of 420,228,111,717,987 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 19 x 37 x 239 x 47 = 3316655580

Therefore, the lowest common multiple of 420,228,111,717,987 is 3316655580.

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.

420 x 228 x 111 x 717 x 987 = 7522174855440

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.

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

111 : 1, 3, 37, 111

717 : 1, 3, 239, 717

987 : 1, 3, 7, 21, 47, 141, 329, 987

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,228,111,717,987, is 3.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

228:2x 2x 3x 19

111:3x 37

717:3x 239

987:3x 7x 47

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 7 = 756

Therefore, the value for common factors is 756.

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 = 7522174855440/(3x756)

LCM = 7522174855440/2268

LCM = 3316655580

Thus, we can understand that the LCM of 420,228,111,717,987 is 3316655580.

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

• LCM of 395, 181, 875, 273, 374
• LCM of 578, 941, 131, 891, 593
• LCM of 460, 599, 210, 821, 695
• LCM of 984, 946, 555, 639, 168
• LCM of 493, 348, 229, 430, 333

1. What is the LCM of 420, 228, 111, 717, 987?

Answer: LCM of 420, 228, 111, 717, 987 is 3316655580.

2. How to calculate the LCM of 420, 228, 111, 717, 987?

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 420, 228, 111, 717, 987.

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}.