Given numbers are 996,195,107,762,204

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

The LCM of 996,195,107,762,204 is 14955781620.

Find LCM of 996,195,107,762,204 with Prime Factorization

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

2 x 2 x 3 x 83 x 65 x 107 x 127 x 17 = 14955781620

Therefore, the lowest common multiple of 996,195,107,762,204 is 14955781620.

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.

996 x 195 x 107 x 762 x 204 = 3230448829920

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

195 : 1, 3, 5, 13, 15, 39, 65, 195

107 : 1, 107

762 : 1, 2, 3, 6, 127, 254, 381, 762

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,195,107,762,204, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

195:3x 5x 13

107:107

762:2x 3x 127

204:2x 2x 3x 17

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 3230448829920/(1x216)

LCM = 3230448829920/216

LCM = 14955781620

Thus, we can understand that the LCM of 996,195,107,762,204 is 14955781620.

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

• LCM of 419, 551, 376, 675, 770
• LCM of 300, 587, 337, 549, 834
• LCM of 845, 294, 289, 509, 284
• LCM of 709, 443, 348, 894, 142
• LCM of 749, 895, 464, 830, 751

1. What is the LCM of 996, 195, 107, 762, 204?

Answer: LCM of 996, 195, 107, 762, 204 is 14955781620.

2. How to calculate the LCM of 996, 195, 107, 762, 204?

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 996, 195, 107, 762, 204.

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}.