Given numbers are 130,985,256,104,408

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

The LCM of 130,985,256,104,408 is 167182080.

Find LCM of 130,985,256,104,408 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 1 x 197 x 32 x 1 x 51 = 167182080

Therefore, the lowest common multiple of 130,985,256,104,408 is 167182080.

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.

130 x 985 x 256 x 104 x 408 = 1390954905600

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

985 : 1, 5, 197, 985

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,985,256,104,408, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

985:5x 197

256:2x 2x 2x 2x 2x 2x 2x 2

104:2x 2x 2x 13

408:2x 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 2x 2x 2x 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 1390954905600/(1x8320)

LCM = 1390954905600/8320

LCM = 167182080

Thus, we can understand that the LCM of 130,985,256,104,408 is 167182080.

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

• LCM of 824, 146, 394, 334, 711
• LCM of 950, 565, 861, 146, 192
• LCM of 692, 500, 931, 386, 532
• LCM of 769, 901, 382, 159, 921
• LCM of 794, 977, 490, 632, 504

1. What is the LCM of 130, 985, 256, 104, 408?

Answer: LCM of 130, 985, 256, 104, 408 is 167182080.

2. How to calculate the LCM of 130, 985, 256, 104, 408?

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 130, 985, 256, 104, 408.

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}.