Given numbers are 138,910,539,104,308

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

The LCM of 138,910,539,104,308 is 19339320.

Find LCM of 138,910,539,104,308 with Prime Factorization

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

2 x 2 x 7 x 11 x 13 x 69 x 5 x 1 x 2 x 7 = 19339320

Therefore, the lowest common multiple of 138,910,539,104,308 is 19339320.

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.

138 x 910 x 539 x 104 x 308 = 2168169843840

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.

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

539 : 1, 7, 11, 49, 77, 539

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,910,539,104,308, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

910:2x 5x 7x 13

539:7x 7x 11

104:2x 2x 2x 13

308:2x 2x 7x 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 2x 2x 7x 7x 11x 13 = 112112

Therefore, the value for common factors is 112112.

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 = 2168169843840/(1x112112)

LCM = 2168169843840/112112

LCM = 19339320

Thus, we can understand that the LCM of 138,910,539,104,308 is 19339320.

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

• LCM of 935, 781, 996, 233, 896
• LCM of 986, 807, 530, 110, 799
• LCM of 615, 945, 281, 162, 520
• LCM of 134, 151, 155, 943, 275
• LCM of 245, 991, 585, 848, 798

1. What is the LCM of 138, 910, 539, 104, 308?

Answer: LCM of 138, 910, 539, 104, 308 is 19339320.

2. How to calculate the LCM of 138, 910, 539, 104, 308?

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 138, 910, 539, 104, 308.

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}.