Given numbers are 253,217,299

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

The LCM of 253,217,299 is 713713.

Find LCM of 253,217,299 with Prime Factorization

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

23 x 11 x 217 x 13 = 713713

Therefore, the lowest common multiple of 253,217,299 is 713713.

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 217 x 299 = 16415399

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

217 : 1, 7, 31, 217

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,217,299, is 1.

Now, the common factors can be found like this.

253:11x 23

217:7x 31

299:13x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 16415399/(1x23)

LCM = 16415399/23

LCM = 713713

Thus, we can understand that the LCM of 253,217,299 is 713713.

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

• LCM of 412, 898, 473
• LCM of 716, 359, 770
• LCM of 455, 773, 310
• LCM of 707, 737, 569
• LCM of 712, 595, 207

1. What is the LCM of 253, 217, 299?

Answer: LCM of 253, 217, 299 is 713713.

2. How to calculate the LCM of 253, 217, 299?

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, 217, 299.

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}.