Given numbers are 75,25,475

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

The LCM of 75,25,475 is 1425.

Find LCM of 75,25,475 with Prime Factorization

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

5 x 5 x 3 x 1 x 19 = 1425

Therefore, the lowest common multiple of 75,25,475 is 1425.

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.

75 x 25 x 475 = 890625

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.

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

25 : 1, 5, 25

475 : 1, 5, 19, 25, 95, 475

25 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 75,25,475, is 25.

Now, the common factors can be found like this.

75:3x 5x 5

25:5x 5

475:5x 5x 19

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 = 890625/(25x25)

LCM = 890625/625

LCM = 1425

Thus, we can understand that the LCM of 75,25,475 is 1425.

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

• LCM of 16, 63, 538
• LCM of 28, 37, 283
• LCM of 14, 85, 320
• LCM of 87, 13, 602
• LCM of 31, 95, 141

1. What is the LCM of 75, 25, 475?

Answer: LCM of 75, 25, 475 is 1425.

2. How to calculate the LCM of 75, 25, 475?

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 75, 25, 475.

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}.