Given numbers are 327,145,225,742

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

The LCM of 327,145,225,742 is 527728950.

Find LCM of 327,145,225,742 with Prime Factorization

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

3 x 5 x 109 x 29 x 15 x 742 = 527728950

Therefore, the lowest common multiple of 327,145,225,742 is 527728950.

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.

327 x 145 x 225 x 742 = 7915934250

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.

327 : 1, 3, 109, 327

145 : 1, 5, 29, 145

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,145,225,742, is 1.

Now, the common factors can be found like this.

327:3x 109

145:5x 29

225:3x 3x 5x 5

742:2x 7x 53

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 = 7915934250/(1x15)

LCM = 7915934250/15

LCM = 527728950

Thus, we can understand that the LCM of 327,145,225,742 is 527728950.

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

• LCM of 664, 167, 645, 258
• LCM of 562, 205, 194, 419
• LCM of 534, 685, 622, 389
• LCM of 327, 351, 657, 926
• LCM of 583, 185, 379, 462

1. What is the LCM of 327, 145, 225, 742?

Answer: LCM of 327, 145, 225, 742 is 527728950.

2. How to calculate the LCM of 327, 145, 225, 742?

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 327, 145, 225, 742.

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}.