Given numbers are 840,428,216,990

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

The LCM of 840,428,216,990 is 8898120.

Find LCM of 840,428,216,990 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 7 x 107 x 3 x 11 = 8898120

Therefore, the lowest common multiple of 840,428,216,990 is 8898120.

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.

840 x 428 x 216 x 990 = 76879756800

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

428 : 1, 2, 4, 107, 214, 428

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,428,216,990, is 2.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

428:2x 2x 107

216:2x 2x 2x 3x 3x 3

990:2x 3x 3x 5x 11

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 76879756800/(2x4320)

LCM = 76879756800/8640

LCM = 8898120

Thus, we can understand that the LCM of 840,428,216,990 is 8898120.

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

• LCM of 618, 208, 783, 101
• LCM of 656, 553, 530, 863
• LCM of 811, 756, 640, 504
• LCM of 833, 492, 587, 855
• LCM of 460, 491, 520, 610

1. What is the LCM of 840, 428, 216, 990?

Answer: LCM of 840, 428, 216, 990 is 8898120.

2. How to calculate the LCM of 840, 428, 216, 990?

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 840, 428, 216, 990.

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}.