Given numbers are 253,207,213

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

The LCM of 253,207,213 is 161667.

Find LCM of 253,207,213 with Prime Factorization

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

3 x 23 x 11 x 3 x 71 = 161667

Therefore, the lowest common multiple of 253,207,213 is 161667.

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 207 x 213 = 11155023

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

207 : 1, 3, 9, 23, 69, 207

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,207,213, is 1.

Now, the common factors can be found like this.

253:11x 23

207:3x 3x 23

213:3x 71

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

3x 23 = 69

Therefore, the value for common factors is 69.

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 = 11155023/(1x69)

LCM = 11155023/69

LCM = 161667

Thus, we can understand that the LCM of 253,207,213 is 161667.

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

• LCM of 229, 123, 597
• LCM of 754, 182, 105
• LCM of 150, 247, 512
• LCM of 363, 119, 235
• LCM of 198, 399, 811

1. What is the LCM of 253, 207, 213?

Answer: LCM of 253, 207, 213 is 161667.

2. How to calculate the LCM of 253, 207, 213?

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, 207, 213.

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}.