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LCM of 260, 990, 751, 805

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


Find the LCM of 260, 990, 751, 805 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, 990, 751, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,990,751,805

Given numbers are 260,990,751,805

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

The LCM of 260,990,751,805 is 3112249140.

Find LCM of 260,990,751,805 with Prime Factorization


2 260, 990, 751, 805
5 130, 495, 751, 805
26, 99, 751, 161

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

2 x 5 x 26 x 99 x 751 x 161 = 3112249140

Therefore, the lowest common multiple of 260,990,751,805 is 3112249140.

LCM Formula to Find Lowest Common Multiple of 260,990,751,805

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 990 x 751 x 805 = 155612457000

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

751 : 1, 751

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,990,751,805, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

990:2x 3x 3x 5x 11

751:751

805:5x 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 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 155612457000/(1x50)

LCM = 155612457000/50

LCM = 3112249140

Thus, we can understand that the LCM of 260,990,751,805 is 3112249140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 990, 751, 805

1. What is the LCM of 260, 990, 751, 805?

Answer: LCM of 260, 990, 751, 805 is 3112249140.

2. How to calculate the LCM of 260, 990, 751, 805?

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, 990, 751, 805.

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}.