Given numbers are 216,901,449,577,138

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

The LCM of 216,901,449,577,138 is 1159654272264.

Find LCM of 216,901,449,577,138 with Prime Factorization

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

2 x 3 x 36 x 901 x 449 x 577 x 23 = 1159654272264

Therefore, the lowest common multiple of 216,901,449,577,138 is 1159654272264.

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.

216 x 901 x 449 x 577 x 138 = 6957925633584

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.

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

901 : 1, 17, 53, 901

449 : 1, 449

577 : 1, 577

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 216,901,449,577,138, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

901:17x 53

449:449

577:577

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 3 = 6

Therefore, the value for common factors is 6.

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 = 6957925633584/(1x6)

LCM = 6957925633584/6

LCM = 1159654272264

Thus, we can understand that the LCM of 216,901,449,577,138 is 1159654272264.

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

• LCM of 117, 836, 858, 325, 389
• LCM of 452, 560, 916, 845, 390
• LCM of 674, 808, 981, 405, 455
• LCM of 891, 940, 635, 550, 668
• LCM of 506, 433, 328, 933, 131

1. What is the LCM of 216, 901, 449, 577, 138?

Answer: LCM of 216, 901, 449, 577, 138 is 1159654272264.

2. How to calculate the LCM of 216, 901, 449, 577, 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 216, 901, 449, 577, 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}.