Given numbers are 138,128,969,788,235

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

The LCM of 138,128,969,788,235 is 132067413120.

Find LCM of 138,128,969,788,235 with Prime Factorization

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

2 x 2 x 3 x 23 x 32 x 323 x 197 x 235 = 132067413120

Therefore, the lowest common multiple of 138,128,969,788,235 is 132067413120.

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 128 x 969 x 788 x 235 = 3169617914880

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

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

788 : 1, 2, 4, 197, 394, 788

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,128,969,788,235, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

128:2x 2x 2x 2x 2x 2x 2

969:3x 17x 19

788:2x 2x 197

235:5x 47

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 = 3169617914880/(1x24)

LCM = 3169617914880/24

LCM = 132067413120

Thus, we can understand that the LCM of 138,128,969,788,235 is 132067413120.

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

• LCM of 761, 807, 152, 881, 879
• LCM of 414, 785, 215, 129, 888
• LCM of 384, 503, 892, 540, 791
• LCM of 548, 522, 462, 878, 537
• LCM of 325, 955, 445, 565, 188

1. What is the LCM of 138, 128, 969, 788, 235?

Answer: LCM of 138, 128, 969, 788, 235 is 132067413120.

2. How to calculate the LCM of 138, 128, 969, 788, 235?

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, 128, 969, 788, 235.

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}.