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LCM of 363, 690, 880, 986, 827

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


Find the LCM of 363, 690, 880, 986, 827 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 363, 690, 880, 986, 827. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,690,880,986,827

Given numbers are 363,690,880,986,827

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

The LCM of 363,690,880,986,827 is 272318331120.

Find LCM of 363,690,880,986,827 with Prime Factorization


2 363, 690, 880, 986, 827
3 363, 345, 440, 493, 827
5 121, 115, 440, 493, 827
11 121, 23, 88, 493, 827
11, 23, 8, 493, 827

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

2 x 3 x 5 x 11 x 11 x 23 x 8 x 493 x 827 = 272318331120

Therefore, the lowest common multiple of 363,690,880,986,827 is 272318331120.

LCM Formula to Find Lowest Common Multiple of 363,690,880,986,827

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.

363 x 690 x 880 x 986 x 827 = 179730098539200

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.

363 : 1, 3, 11, 33, 121, 363

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

986 : 1, 2, 17, 29, 34, 58, 493, 986

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,690,880,986,827, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

690:2x 3x 5x 23

880:2x 2x 2x 2x 5x 11

986:2x 17x 29

827:827

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 11 = 660

Therefore, the value for common factors is 660.

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 = 179730098539200/(1x660)

LCM = 179730098539200/660

LCM = 272318331120

Thus, we can understand that the LCM of 363,690,880,986,827 is 272318331120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 690, 880, 986, 827

1. What is the LCM of 363, 690, 880, 986, 827?

Answer: LCM of 363, 690, 880, 986, 827 is 272318331120.

2. How to calculate the LCM of 363, 690, 880, 986, 827?

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 363, 690, 880, 986, 827.

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}.