Given numbers are 909,120,102,122,858

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

The LCM of 909,120,102,122,858 is 5391860760.

Find LCM of 909,120,102,122,858 with Prime Factorization

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

2 x 3 x 303 x 20 x 17 x 61 x 143 = 5391860760

Therefore, the lowest common multiple of 909,120,102,122,858 is 5391860760.

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.

909 x 120 x 102 x 122 x 858 = 1164641924160

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.

909 : 1, 3, 9, 101, 303, 909

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

122 : 1, 2, 61, 122

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,120,102,122,858, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

120:2x 2x 2x 3x 5

102:2x 3x 17

122:2x 61

858:2x 3x 11x 13

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 = 1164641924160/(1x216)

LCM = 1164641924160/216

LCM = 5391860760

Thus, we can understand that the LCM of 909,120,102,122,858 is 5391860760.

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

• LCM of 893, 699, 369, 658, 540
• LCM of 418, 118, 966, 198, 766
• LCM of 326, 739, 410, 675, 900
• LCM of 881, 751, 657, 623, 425
• LCM of 527, 758, 476, 707, 586

1. What is the LCM of 909, 120, 102, 122, 858?

Answer: LCM of 909, 120, 102, 122, 858 is 5391860760.

2. How to calculate the LCM of 909, 120, 102, 122, 858?

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 909, 120, 102, 122, 858.

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}.