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LCM of 179, 299, 104, 442

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


Find the LCM of 179, 299, 104, 442 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 179, 299, 104, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 179,299,104,442

Given numbers are 179,299,104,442

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

The LCM of 179,299,104,442 is 7278856.

Find LCM of 179,299,104,442 with Prime Factorization


2 179, 299, 104, 442
13 179, 299, 52, 221
179, 23, 4, 17

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

2 x 13 x 179 x 23 x 4 x 17 = 7278856

Therefore, the lowest common multiple of 179,299,104,442 is 7278856.

LCM Formula to Find Lowest Common Multiple of 179,299,104,442

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.

179 x 299 x 104 x 442 = 2460253328

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.

179 : 1, 179

299 : 1, 13, 23, 299

104 : 1, 2, 4, 8, 13, 26, 52, 104

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,299,104,442, is 1.

Now, the common factors can be found like this.

179:179

299:13x 23

104:2x 2x 2x 13

442:2x 13x 17

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 2460253328/(1x338)

LCM = 2460253328/338

LCM = 7278856

Thus, we can understand that the LCM of 179,299,104,442 is 7278856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 179, 299, 104, 442

1. What is the LCM of 179, 299, 104, 442?

Answer: LCM of 179, 299, 104, 442 is 7278856.

2. How to calculate the LCM of 179, 299, 104, 442?

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 179, 299, 104, 442.

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}.