Given numbers are 201,408,705,967,261

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

The LCM of 201,408,705,967,261 is 540441330840.

Find LCM of 201,408,705,967,261 with Prime Factorization

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

3 x 67 x 136 x 235 x 967 x 87 = 540441330840

Therefore, the lowest common multiple of 201,408,705,967,261 is 540441330840.

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.

201 x 408 x 705 x 967 x 261 = 14591915932680

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.

201 : 1, 3, 67, 201

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

705 : 1, 3, 5, 15, 47, 141, 235, 705

967 : 1, 967

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,408,705,967,261, is 1.

Now, the common factors can be found like this.

201:3x 67

408:2x 2x 2x 3x 17

705:3x 5x 47

967:967

261:3x 3x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 14591915932680/(1x27)

LCM = 14591915932680/27

LCM = 540441330840

Thus, we can understand that the LCM of 201,408,705,967,261 is 540441330840.

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

• LCM of 458, 245, 691, 927, 579
• LCM of 827, 411, 899, 636, 886
• LCM of 678, 711, 970, 379, 182
• LCM of 625, 672, 240, 995, 814
• LCM of 838, 332, 180, 365, 532

1. What is the LCM of 201, 408, 705, 967, 261?

Answer: LCM of 201, 408, 705, 967, 261 is 540441330840.

2. How to calculate the LCM of 201, 408, 705, 967, 261?

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 201, 408, 705, 967, 261.

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}.