Given numbers are 375,27,309

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

The LCM of 375,27,309 is 347625.

Find LCM of 375,27,309 with Prime Factorization

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

3 x 125 x 9 x 103 = 347625

Therefore, the lowest common multiple of 375,27,309 is 347625.

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.

375 x 27 x 309 = 3128625

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.

375 : 1, 3, 5, 15, 25, 75, 125, 375

27 : 1, 3, 9, 27

309 : 1, 3, 103, 309

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,27,309, is 3.

Now, the common factors can be found like this.

375:3x 5x 5x 5

27:3x 3x 3

309:3x 103

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

3 = 3

Therefore, the value for common factors is 3.

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 = 3128625/(3x3)

LCM = 3128625/9

LCM = 347625

Thus, we can understand that the LCM of 375,27,309 is 347625.

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

• LCM of 190, 98, 879
• LCM of 799, 32, 304
• LCM of 446, 56, 601
• LCM of 982, 26, 572
• LCM of 181, 80, 371

1. What is the LCM of 375, 27, 309?

Answer: LCM of 375, 27, 309 is 347625.

2. How to calculate the LCM of 375, 27, 309?

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 375, 27, 309.

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}.