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LCM of 805, 359, 816, 935, 977

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


Find the LCM of 805, 359, 816, 935, 977 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 805, 359, 816, 935, 977. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,359,816,935,977

Given numbers are 805,359,816,935,977

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

The LCM of 805,359,816,935,977 is 2534356680240.

Find LCM of 805,359,816,935,977 with Prime Factorization


5 805, 359, 816, 935, 977
17 161, 359, 816, 187, 977
161, 359, 48, 11, 977

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

5 x 17 x 161 x 359 x 48 x 11 x 977 = 2534356680240

Therefore, the lowest common multiple of 805,359,816,935,977 is 2534356680240.

LCM Formula to Find Lowest Common Multiple of 805,359,816,935,977

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.

805 x 359 x 816 x 935 x 977 = 215420317820400

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.

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

359 : 1, 359

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,359,816,935,977, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

359:359

816:2x 2x 2x 2x 3x 17

935:5x 11x 17

977:977

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

5x 17 = 85

Therefore, the value for common factors is 85.

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 = 215420317820400/(1x85)

LCM = 215420317820400/85

LCM = 2534356680240

Thus, we can understand that the LCM of 805,359,816,935,977 is 2534356680240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 359, 816, 935, 977

1. What is the LCM of 805, 359, 816, 935, 977?

Answer: LCM of 805, 359, 816, 935, 977 is 2534356680240.

2. How to calculate the LCM of 805, 359, 816, 935, 977?

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 805, 359, 816, 935, 977.

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}.