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LCM of 992, 208, 341, 259

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


Find the LCM of 992, 208, 341, 259 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 992, 208, 341, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 992,208,341,259

Given numbers are 992,208,341,259

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

The LCM of 992,208,341,259 is 36740704.

Find LCM of 992,208,341,259 with Prime Factorization


2 992, 208, 341, 259
2 496, 104, 341, 259
2 248, 52, 341, 259
2 124, 26, 341, 259
31 62, 13, 341, 259
2, 13, 11, 259

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

2 x 2 x 2 x 2 x 31 x 2 x 13 x 11 x 259 = 36740704

Therefore, the lowest common multiple of 992,208,341,259 is 36740704.

LCM Formula to Find Lowest Common Multiple of 992,208,341,259

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.

992 x 208 x 341 x 259 = 18223389184

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

341 : 1, 11, 31, 341

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,208,341,259, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

208:2x 2x 2x 2x 13

341:11x 31

259:7x 37

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

2x 2x 2x 2x 31 = 496

Therefore, the value for common factors is 496.

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 = 18223389184/(1x496)

LCM = 18223389184/496

LCM = 36740704

Thus, we can understand that the LCM of 992,208,341,259 is 36740704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 992, 208, 341, 259

1. What is the LCM of 992, 208, 341, 259?

Answer: LCM of 992, 208, 341, 259 is 36740704.

2. How to calculate the LCM of 992, 208, 341, 259?

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 992, 208, 341, 259.

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}.