Given numbers are 104,906,135,161,746

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

The LCM of 104,906,135,161,746 is 127314762120.

Find LCM of 104,906,135,161,746 with Prime Factorization

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

2 x 3 x 52 x 151 x 45 x 161 x 373 = 127314762120

Therefore, the lowest common multiple of 104,906,135,161,746 is 127314762120.

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.

104 x 906 x 135 x 161 x 746 = 1527777145440

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

906 : 1, 2, 3, 6, 151, 302, 453, 906

135 : 1, 3, 5, 9, 15, 27, 45, 135

161 : 1, 7, 23, 161

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,906,135,161,746, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

906:2x 3x 151

135:3x 3x 3x 5

161:7x 23

746:2x 373

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1527777145440/(1x12)

LCM = 1527777145440/12

LCM = 127314762120

Thus, we can understand that the LCM of 104,906,135,161,746 is 127314762120.

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

• LCM of 676, 541, 315, 311, 600
• LCM of 768, 934, 669, 928, 384
• LCM of 723, 368, 930, 787, 854
• LCM of 338, 265, 427, 218, 557
• LCM of 770, 713, 171, 741, 643

1. What is the LCM of 104, 906, 135, 161, 746?

Answer: LCM of 104, 906, 135, 161, 746 is 127314762120.

2. How to calculate the LCM of 104, 906, 135, 161, 746?

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 104, 906, 135, 161, 746.

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}.