Given numbers are 261,698,471,408

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

The LCM of 261,698,471,408 is 1944932328.

Find LCM of 261,698,471,408 with Prime Factorization

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

2 x 3 x 87 x 349 x 157 x 68 = 1944932328

Therefore, the lowest common multiple of 261,698,471,408 is 1944932328.

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.

261 x 698 x 471 x 408 = 35008781904

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.

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

698 : 1, 2, 349, 698

471 : 1, 3, 157, 471

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,698,471,408, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

698:2x 349

471:3x 157

408:2x 2x 2x 3x 17

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 35008781904/(1x18)

LCM = 35008781904/18

LCM = 1944932328

Thus, we can understand that the LCM of 261,698,471,408 is 1944932328.

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

• LCM of 969, 846, 969, 759
• LCM of 471, 325, 477, 175
• LCM of 549, 472, 101, 903
• LCM of 378, 276, 649, 664
• LCM of 128, 731, 446, 641

1. What is the LCM of 261, 698, 471, 408?

Answer: LCM of 261, 698, 471, 408 is 1944932328.

2. How to calculate the LCM of 261, 698, 471, 408?

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 261, 698, 471, 408.

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}.