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LCM of 299, 325, 384, 169

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 299, 325, 384, 169 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 299, 325, 384, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,325,384,169

Given numbers are 299,325,384,169

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

The LCM of 299,325,384,169 is 37315200.

Find LCM of 299,325,384,169 with Prime Factorization


13 299, 325, 384, 169
23, 25, 384, 13

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

13 x 23 x 25 x 384 x 13 = 37315200

Therefore, the lowest common multiple of 299,325,384,169 is 37315200.

LCM Formula to Find Lowest Common Multiple of 299,325,384,169

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 325 x 384 x 169 = 6306268800

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

325 : 1, 5, 13, 25, 65, 325

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,325,384,169, is 1.

Now, the common factors can be found like this.

299:13x 23

325:5x 5x 13

384:2x 2x 2x 2x 2x 2x 2x 3

169:13x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 6306268800/(1x169)

LCM = 6306268800/169

LCM = 37315200

Thus, we can understand that the LCM of 299,325,384,169 is 37315200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 325, 384, 169

1. What is the LCM of 299, 325, 384, 169?

Answer: LCM of 299, 325, 384, 169 is 37315200.

2. How to calculate the LCM of 299, 325, 384, 169?

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, 325, 384, 169.

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}.