Given numbers are 253,75,275

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

The LCM of 253,75,275 is 18975.

Find LCM of 253,75,275 with Prime Factorization

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

5 x 5 x 11 x 23 x 3 x 1 = 18975

Therefore, the lowest common multiple of 253,75,275 is 18975.

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.

253 x 75 x 275 = 5218125

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.

253 : 1, 11, 23, 253

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

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,75,275, is 1.

Now, the common factors can be found like this.

253:11x 23

75:3x 5x 5

275:5x 5x 11

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

5x 5x 11 = 275

Therefore, the value for common factors is 275.

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 = 5218125/(1x275)

LCM = 5218125/275

LCM = 18975

Thus, we can understand that the LCM of 253,75,275 is 18975.

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

• LCM of 962, 69, 465
• LCM of 390, 57, 410
• LCM of 980, 74, 895
• LCM of 610, 30, 546
• LCM of 194, 17, 529

1. What is the LCM of 253, 75, 275?

Answer: LCM of 253, 75, 275 is 18975.

2. How to calculate the LCM of 253, 75, 275?

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 253, 75, 275.

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}.