Given numbers are 467,15,975

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

The LCM of 467,15,975 is 455325.

Find LCM of 467,15,975 with Prime Factorization

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

3 x 5 x 467 x 1 x 65 = 455325

Therefore, the lowest common multiple of 467,15,975 is 455325.

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.

467 x 15 x 975 = 6829875

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.

467 : 1, 467

15 : 1, 3, 5, 15

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,15,975, is 1.

Now, the common factors can be found like this.

467:467

15:3x 5

975:3x 5x 5x 13

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 = 6829875/(1x15)

LCM = 6829875/15

LCM = 455325

Thus, we can understand that the LCM of 467,15,975 is 455325.

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

• LCM of 830, 74, 461
• LCM of 246, 18, 963
• LCM of 283, 94, 225
• LCM of 330, 62, 997
• LCM of 206, 30, 249

1. What is the LCM of 467, 15, 975?

Answer: LCM of 467, 15, 975 is 455325.

2. How to calculate the LCM of 467, 15, 975?

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 467, 15, 975.

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}.