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LCM of 199, 816, 986, 524

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


Find the LCM of 199, 816, 986, 524 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 199, 816, 986, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,816,986,524

Given numbers are 199,816,986,524

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

The LCM of 199,816,986,524 is 616896816.

Find LCM of 199,816,986,524 with Prime Factorization


2 199, 816, 986, 524
2 199, 408, 493, 262
17 199, 204, 493, 131
199, 12, 29, 131

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

2 x 2 x 17 x 199 x 12 x 29 x 131 = 616896816

Therefore, the lowest common multiple of 199,816,986,524 is 616896816.

LCM Formula to Find Lowest Common Multiple of 199,816,986,524

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.

199 x 816 x 986 x 524 = 83897966976

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.

199 : 1, 199

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

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

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,816,986,524, is 1.

Now, the common factors can be found like this.

199:199

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

986:2x 17x 29

524:2x 2x 131

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 17 = 136

Therefore, the value for common factors is 136.

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 = 83897966976/(1x136)

LCM = 83897966976/136

LCM = 616896816

Thus, we can understand that the LCM of 199,816,986,524 is 616896816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 816, 986, 524

1. What is the LCM of 199, 816, 986, 524?

Answer: LCM of 199, 816, 986, 524 is 616896816.

2. How to calculate the LCM of 199, 816, 986, 524?

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 199, 816, 986, 524.

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}.