Given numbers are 830,952,115,180,990

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

The LCM of 830,952,115,180,990 is 899597160.

Find LCM of 830,952,115,180,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 83 x 238 x 23 x 1 x 11 = 899597160

Therefore, the lowest common multiple of 830,952,115,180,990 is 899597160.

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.

830 x 952 x 115 x 180 x 990 = 16192748880000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

115 : 1, 5, 23, 115

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 830,952,115,180,990, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

952:2x 2x 2x 7x 17

115:5x 23

180:2x 2x 3x 3x 5

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 3x 3x 5x 5x 5 = 18000

Therefore, the value for common factors is 18000.

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 = 16192748880000/(1x18000)

LCM = 16192748880000/18000

LCM = 899597160

Thus, we can understand that the LCM of 830,952,115,180,990 is 899597160.

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

• LCM of 846, 586, 206, 370, 255
• LCM of 307, 647, 216, 200, 543
• LCM of 730, 880, 212, 529, 516
• LCM of 232, 788, 636, 795, 451
• LCM of 185, 791, 924, 711, 208

1. What is the LCM of 830, 952, 115, 180, 990?

Answer: LCM of 830, 952, 115, 180, 990 is 899597160.

2. How to calculate the LCM of 830, 952, 115, 180, 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 830, 952, 115, 180, 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}.