Given numbers are 990,420,223,583,868

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

The LCM of 990,420,223,583,868 is 5078151540.

Find LCM of 990,420,223,583,868 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 11 x 3 x 1 x 223 x 53 x 31 = 5078151540

Therefore, the lowest common multiple of 990,420,223,583,868 is 5078151540.

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.

990 x 420 x 223 x 583 x 868 = 46922120229600

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.

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

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

223 : 1, 223

583 : 1, 11, 53, 583

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,420,223,583,868, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

420:2x 2x 3x 5x 7

223:223

583:11x 53

868:2x 2x 7x 31

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 5x 7x 11 = 9240

Therefore, the value for common factors is 9240.

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 = 46922120229600/(1x9240)

LCM = 46922120229600/9240

LCM = 5078151540

Thus, we can understand that the LCM of 990,420,223,583,868 is 5078151540.

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

• LCM of 297, 605, 163, 329, 706
• LCM of 384, 925, 549, 557, 813
• LCM of 750, 427, 745, 311, 843
• LCM of 322, 971, 145, 150, 222
• LCM of 324, 395, 118, 438, 199

1. What is the LCM of 990, 420, 223, 583, 868?

Answer: LCM of 990, 420, 223, 583, 868 is 5078151540.

2. How to calculate the LCM of 990, 420, 223, 583, 868?

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 990, 420, 223, 583, 868.

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}.