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LCM of 260, 598, 802, 966

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


Find the LCM of 260, 598, 802, 966 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 260, 598, 802, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,598,802,966

Given numbers are 260,598,802,966

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

The LCM of 260,598,802,966 is 50357580.

Find LCM of 260,598,802,966 with Prime Factorization


2 260, 598, 802, 966
13 130, 299, 401, 483
23 10, 23, 401, 483
10, 1, 401, 21

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

2 x 13 x 23 x 10 x 1 x 401 x 21 = 50357580

Therefore, the lowest common multiple of 260,598,802,966 is 50357580.

LCM Formula to Find Lowest Common Multiple of 260,598,802,966

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.

260 x 598 x 802 x 966 = 120455331360

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.

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

802 : 1, 2, 401, 802

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,598,802,966, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

598:2x 13x 23

802:2x 401

966:2x 3x 7x 23

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 13x 23 = 1196

Therefore, the value for common factors is 1196.

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 = 120455331360/(2x1196)

LCM = 120455331360/2392

LCM = 50357580

Thus, we can understand that the LCM of 260,598,802,966 is 50357580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 598, 802, 966

1. What is the LCM of 260, 598, 802, 966?

Answer: LCM of 260, 598, 802, 966 is 50357580.

2. How to calculate the LCM of 260, 598, 802, 966?

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 260, 598, 802, 966.

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}.