Given numbers are 646,76,409

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

The LCM of 646,76,409 is 528428.

Find LCM of 646,76,409 with Prime Factorization

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

2 x 19 x 17 x 2 x 409 = 528428

Therefore, the lowest common multiple of 646,76,409 is 528428.

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.

646 x 76 x 409 = 20080264

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

76 : 1, 2, 4, 19, 38, 76

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,76,409, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

76:2x 2x 19

409:409

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 20080264/(1x38)

LCM = 20080264/38

LCM = 528428

Thus, we can understand that the LCM of 646,76,409 is 528428.

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

• LCM of 932, 12, 670
• LCM of 709, 59, 707
• LCM of 422, 85, 333
• LCM of 592, 50, 630
• LCM of 440, 24, 359

1. What is the LCM of 646, 76, 409?

Answer: LCM of 646, 76, 409 is 528428.

2. How to calculate the LCM of 646, 76, 409?

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 646, 76, 409.

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}.