Given numbers are 293,814,299,990

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

The LCM of 293,814,299,990 is 3209044410.

Find LCM of 293,814,299,990 with Prime Factorization

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

2 x 11 x 293 x 37 x 299 x 45 = 3209044410

Therefore, the lowest common multiple of 293,814,299,990 is 3209044410.

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.

293 x 814 x 299 x 990 = 70598977020

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.

293 : 1, 293

814 : 1, 2, 11, 22, 37, 74, 407, 814

299 : 1, 13, 23, 299

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,814,299,990, is 1.

Now, the common factors can be found like this.

293:293

814:2x 11x 37

299:13x 23

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 11 = 22

Therefore, the value for common factors is 22.

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 = 70598977020/(1x22)

LCM = 70598977020/22

LCM = 3209044410

Thus, we can understand that the LCM of 293,814,299,990 is 3209044410.

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

• LCM of 138, 407, 933, 928
• LCM of 786, 274, 786, 722
• LCM of 656, 662, 148, 713
• LCM of 795, 753, 747, 713
• LCM of 492, 733, 445, 518

1. What is the LCM of 293, 814, 299, 990?

Answer: LCM of 293, 814, 299, 990 is 3209044410.

2. How to calculate the LCM of 293, 814, 299, 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 293, 814, 299, 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}.