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LCM of 263, 341, 299, 260

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


Find the LCM of 263, 341, 299, 260 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 263, 341, 299, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 263,341,299,260

Given numbers are 263,341,299,260

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

The LCM of 263,341,299,260 is 536304340.

Find LCM of 263,341,299,260 with Prime Factorization


13 263, 341, 299, 260
263, 341, 23, 20

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

13 x 263 x 341 x 23 x 20 = 536304340

Therefore, the lowest common multiple of 263,341,299,260 is 536304340.

LCM Formula to Find Lowest Common Multiple of 263,341,299,260

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.

263 x 341 x 299 x 260 = 6971956420

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.

263 : 1, 263

341 : 1, 11, 31, 341

299 : 1, 13, 23, 299

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,341,299,260, is 1.

Now, the common factors can be found like this.

263:263

341:11x 31

299:13x 23

260:2x 2x 5x 13

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 = 6971956420/(1x13)

LCM = 6971956420/13

LCM = 536304340

Thus, we can understand that the LCM of 263,341,299,260 is 536304340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 263, 341, 299, 260

1. What is the LCM of 263, 341, 299, 260?

Answer: LCM of 263, 341, 299, 260 is 536304340.

2. How to calculate the LCM of 263, 341, 299, 260?

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 263, 341, 299, 260.

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}.