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LCM of 249, 120, 816, 999

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


Find the LCM of 249, 120, 816, 999 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 249, 120, 816, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 249,120,816,999

Given numbers are 249,120,816,999

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

The LCM of 249,120,816,999 is 112767120.

Find LCM of 249,120,816,999 with Prime Factorization


2 249, 120, 816, 999
2 249, 60, 408, 999
2 249, 30, 204, 999
3 249, 15, 102, 999
83, 5, 34, 333

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

2 x 2 x 2 x 3 x 83 x 5 x 34 x 333 = 112767120

Therefore, the lowest common multiple of 249,120,816,999 is 112767120.

LCM Formula to Find Lowest Common Multiple of 249,120,816,999

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.

249 x 120 x 816 x 999 = 24357697920

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.

249 : 1, 3, 83, 249

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

999 : 1, 3, 9, 27, 37, 111, 333, 999

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,120,816,999, is 3.

Now, the common factors can be found like this.

249:3x 83

120:2x 2x 2x 3x 5

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

999:3x 3x 3x 37

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 24357697920/(3x72)

LCM = 24357697920/216

LCM = 112767120

Thus, we can understand that the LCM of 249,120,816,999 is 112767120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 249, 120, 816, 999

1. What is the LCM of 249, 120, 816, 999?

Answer: LCM of 249, 120, 816, 999 is 112767120.

2. How to calculate the LCM of 249, 120, 816, 999?

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 249, 120, 816, 999.

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}.