Given numbers are 855,164,311,138,364

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

The LCM of 855,164,311,138,364 is 91272423060.

Find LCM of 855,164,311,138,364 with Prime Factorization

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

2 x 2 x 3 x 285 x 41 x 311 x 23 x 91 = 91272423060

Therefore, the lowest common multiple of 855,164,311,138,364 is 91272423060.

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.

855 x 164 x 311 x 138 x 364 = 2190538153440

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

164 : 1, 2, 4, 41, 82, 164

311 : 1, 311

138 : 1, 2, 3, 6, 23, 46, 69, 138

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,164,311,138,364, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

164:2x 2x 41

311:311

138:2x 3x 23

364:2x 2x 7x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 2190538153440/(1x24)

LCM = 2190538153440/24

LCM = 91272423060

Thus, we can understand that the LCM of 855,164,311,138,364 is 91272423060.

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

• LCM of 872, 971, 671, 462, 546
• LCM of 362, 716, 190, 149, 640
• LCM of 335, 878, 712, 115, 427
• LCM of 876, 889, 498, 698, 714
• LCM of 563, 712, 284, 262, 709

1. What is the LCM of 855, 164, 311, 138, 364?

Answer: LCM of 855, 164, 311, 138, 364 is 91272423060.

2. How to calculate the LCM of 855, 164, 311, 138, 364?

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 855, 164, 311, 138, 364.

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}.