Given numbers are 591,969,432,388,138

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

The LCM of 591,969,432,388,138 is 61327048752.

Find LCM of 591,969,432,388,138 with Prime Factorization

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

2 x 2 x 3 x 197 x 323 x 36 x 97 x 23 = 61327048752

Therefore, the lowest common multiple of 591,969,432,388,138 is 61327048752.

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.

591 x 969 x 432 x 388 x 138 = 13246642530432

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.

591 : 1, 3, 197, 591

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

388 : 1, 2, 4, 97, 194, 388

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,969,432,388,138, is 1.

Now, the common factors can be found like this.

591:3x 197

969:3x 17x 19

432:2x 2x 2x 2x 3x 3x 3

388:2x 2x 97

138:2x 3x 23

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 13246642530432/(1x216)

LCM = 13246642530432/216

LCM = 61327048752

Thus, we can understand that the LCM of 591,969,432,388,138 is 61327048752.

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

• LCM of 649, 970, 802, 189, 529
• LCM of 585, 591, 216, 167, 661
• LCM of 424, 307, 703, 404, 776
• LCM of 240, 314, 619, 328, 529
• LCM of 820, 636, 491, 830, 631

1. What is the LCM of 591, 969, 432, 388, 138?

Answer: LCM of 591, 969, 432, 388, 138 is 61327048752.

2. How to calculate the LCM of 591, 969, 432, 388, 138?

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 591, 969, 432, 388, 138.

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}.