Given numbers are 102,193,864,990

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

The LCM of 102,193,864,990 is 155913120.

Find LCM of 102,193,864,990 with Prime Factorization

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

2 x 3 x 3 x 17 x 193 x 48 x 55 = 155913120

Therefore, the lowest common multiple of 102,193,864,990 is 155913120.

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.

102 x 193 x 864 x 990 = 16838616960

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

193 : 1, 193

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 102,193,864,990, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

193:193

864:2x 2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 16838616960/(1x108)

LCM = 16838616960/108

LCM = 155913120

Thus, we can understand that the LCM of 102,193,864,990 is 155913120.

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

• LCM of 426, 744, 555, 119
• LCM of 125, 769, 744, 719
• LCM of 545, 607, 700, 692
• LCM of 961, 380, 286, 956
• LCM of 230, 535, 969, 429

1. What is the LCM of 102, 193, 864, 990?

Answer: LCM of 102, 193, 864, 990 is 155913120.

2. How to calculate the LCM of 102, 193, 864, 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 102, 193, 864, 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}.