Given numbers are 409,149,745,324

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

The LCM of 409,149,745,324 is 98724420.

Find LCM of 409,149,745,324 with Prime Factorization

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

149 x 409 x 1 x 5 x 324 = 98724420

Therefore, the lowest common multiple of 409,149,745,324 is 98724420.

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.

409 x 149 x 745 x 324 = 14709938580

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.

409 : 1, 409

149 : 1, 149

745 : 1, 5, 149, 745

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,149,745,324, is 1.

Now, the common factors can be found like this.

409:409

149:149

745:5x 149

324:2x 2x 3x 3x 3x 3

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

149 = 149

Therefore, the value for common factors is 149.

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 = 14709938580/(1x149)

LCM = 14709938580/149

LCM = 98724420

Thus, we can understand that the LCM of 409,149,745,324 is 98724420.

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

• LCM of 654, 223, 729, 201
• LCM of 973, 216, 197, 975
• LCM of 364, 228, 328, 811
• LCM of 917, 920, 428, 312
• LCM of 837, 810, 873, 176

1. What is the LCM of 409, 149, 745, 324?

Answer: LCM of 409, 149, 745, 324 is 98724420.

2. How to calculate the LCM of 409, 149, 745, 324?

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 409, 149, 745, 324.

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}.