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LCM of 862, 990, 561, 764, 935

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


Find the LCM of 862, 990, 561, 764, 935 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 862, 990, 561, 764, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,990,561,764,935

Given numbers are 862,990,561,764,935

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

The LCM of 862,990,561,764,935 is 2770924860.

Find LCM of 862,990,561,764,935 with Prime Factorization


2 862, 990, 561, 764, 935
3 431, 495, 561, 382, 935
5 431, 165, 187, 382, 935
11 431, 33, 187, 382, 187
17 431, 3, 17, 382, 17
431, 3, 1, 382, 1

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

2 x 3 x 5 x 11 x 17 x 431 x 3 x 1 x 382 x 1 = 2770924860

Therefore, the lowest common multiple of 862,990,561,764,935 is 2770924860.

LCM Formula to Find Lowest Common Multiple of 862,990,561,764,935

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.

862 x 990 x 561 x 764 x 935 = 341987546221200

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.

862 : 1, 2, 431, 862

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

764 : 1, 2, 4, 191, 382, 764

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,990,561,764,935, is 1.

Now, the common factors can be found like this.

862:2x 431

990:2x 3x 3x 5x 11

561:3x 11x 17

764:2x 2x 191

935:5x 11x 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 2x 3x 5x 11x 11x 17 = 123420

Therefore, the value for common factors is 123420.

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 = 341987546221200/(1x123420)

LCM = 341987546221200/123420

LCM = 2770924860

Thus, we can understand that the LCM of 862,990,561,764,935 is 2770924860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 990, 561, 764, 935

1. What is the LCM of 862, 990, 561, 764, 935?

Answer: LCM of 862, 990, 561, 764, 935 is 2770924860.

2. How to calculate the LCM of 862, 990, 561, 764, 935?

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 862, 990, 561, 764, 935.

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}.