Given numbers are 299,115,141,217

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

The LCM of 299,115,141,217 is 45742515.

Find LCM of 299,115,141,217 with Prime Factorization

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

23 x 13 x 5 x 141 x 217 = 45742515

Therefore, the lowest common multiple of 299,115,141,217 is 45742515.

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.

299 x 115 x 141 x 217 = 1052077845

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.

299 : 1, 13, 23, 299

115 : 1, 5, 23, 115

141 : 1, 3, 47, 141

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,115,141,217, is 1.

Now, the common factors can be found like this.

299:13x 23

115:5x 23

141:3x 47

217:7x 31

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 = 1052077845/(1x23)

LCM = 1052077845/23

LCM = 45742515

Thus, we can understand that the LCM of 299,115,141,217 is 45742515.

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

• LCM of 454, 977, 156, 324
• LCM of 865, 180, 799, 988
• LCM of 130, 485, 718, 228
• LCM of 284, 650, 755, 522
• LCM of 772, 837, 730, 998

1. What is the LCM of 299, 115, 141, 217?

Answer: LCM of 299, 115, 141, 217 is 45742515.

2. How to calculate the LCM of 299, 115, 141, 217?

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 299, 115, 141, 217.

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}.