Given numbers are 945,325,115,409

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

The LCM of 945,325,115,409 is 577824975.

Find LCM of 945,325,115,409 with Prime Factorization

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

5 x 189 x 65 x 23 x 409 = 577824975

Therefore, the lowest common multiple of 945,325,115,409 is 577824975.

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.

945 x 325 x 115 x 409 = 14445624375

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

325 : 1, 5, 13, 25, 65, 325

115 : 1, 5, 23, 115

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,325,115,409, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

325:5x 5x 13

115:5x 23

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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 14445624375/(1x25)

LCM = 14445624375/25

LCM = 577824975

Thus, we can understand that the LCM of 945,325,115,409 is 577824975.

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

• LCM of 639, 601, 642, 120
• LCM of 938, 790, 948, 188
• LCM of 423, 477, 457, 157
• LCM of 534, 598, 490, 320
• LCM of 305, 101, 159, 736

1. What is the LCM of 945, 325, 115, 409?

Answer: LCM of 945, 325, 115, 409 is 577824975.

2. How to calculate the LCM of 945, 325, 115, 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 945, 325, 115, 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}.