Given numbers are 117,143,299

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

The LCM of 117,143,299 is 29601.

Find LCM of 117,143,299 with Prime Factorization

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

13 x 9 x 11 x 23 = 29601

Therefore, the lowest common multiple of 117,143,299 is 29601.

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.

117 x 143 x 299 = 5002569

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.

117 : 1, 3, 9, 13, 39, 117

143 : 1, 11, 13, 143

299 : 1, 13, 23, 299

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,143,299, is 13.

Now, the common factors can be found like this.

117:3x 3x 13

143:11x 13

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 5002569/(13x13)

LCM = 5002569/169

LCM = 29601

Thus, we can understand that the LCM of 117,143,299 is 29601.

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

• LCM of 596, 473, 635
• LCM of 611, 949, 129
• LCM of 784, 533, 179
• LCM of 428, 570, 103
• LCM of 115, 472, 162

1. What is the LCM of 117, 143, 299?

Answer: LCM of 117, 143, 299 is 29601.

2. How to calculate the LCM of 117, 143, 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 117, 143, 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}.