Given numbers are 610,409,966

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

The LCM of 610,409,966 is 120503670.

Find LCM of 610,409,966 with Prime Factorization

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

2 x 305 x 409 x 483 = 120503670

Therefore, the lowest common multiple of 610,409,966 is 120503670.

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.

610 x 409 x 966 = 241007340

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

409 : 1, 409

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,409,966, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

409:409

966:2x 3x 7x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 241007340/(1x2)

LCM = 241007340/2

LCM = 120503670

Thus, we can understand that the LCM of 610,409,966 is 120503670.

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

• LCM of 725, 590, 704
• LCM of 144, 348, 365
• LCM of 418, 554, 465
• LCM of 101, 230, 315
• LCM of 709, 502, 463

1. What is the LCM of 610, 409, 966?

Answer: LCM of 610, 409, 966 is 120503670.

2. How to calculate the LCM of 610, 409, 966?

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 610, 409, 966.

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}.