Given numbers are 261,120,415,629

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

The LCM of 261,120,415,629 is 545041080.

Find LCM of 261,120,415,629 with Prime Factorization

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

3 x 5 x 87 x 8 x 83 x 629 = 545041080

Therefore, the lowest common multiple of 261,120,415,629 is 545041080.

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 120 x 415 x 629 = 8175616200

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

415 : 1, 5, 83, 415

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,120,415,629, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

120:2x 2x 2x 3x 5

415:5x 83

629:17x 37

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 8175616200/(1x15)

LCM = 8175616200/15

LCM = 545041080

Thus, we can understand that the LCM of 261,120,415,629 is 545041080.

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

• LCM of 154, 654, 161, 886
• LCM of 617, 137, 795, 226
• LCM of 930, 595, 303, 144
• LCM of 243, 502, 926, 185
• LCM of 177, 607, 284, 282

1. What is the LCM of 261, 120, 415, 629?

Answer: LCM of 261, 120, 415, 629 is 545041080.

2. How to calculate the LCM of 261, 120, 415, 629?

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, 120, 415, 629.

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}.