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LCM of 814, 199, 517, 846

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


Find the LCM of 814, 199, 517, 846 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 814, 199, 517, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,199,517,846

Given numbers are 814,199,517,846

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

The LCM of 814,199,517,846 is 68520078.

Find LCM of 814,199,517,846 with Prime Factorization


2 814, 199, 517, 846
11 407, 199, 517, 423
47 37, 199, 47, 423
37, 199, 1, 9

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

2 x 11 x 47 x 37 x 199 x 1 x 9 = 68520078

Therefore, the lowest common multiple of 814,199,517,846 is 68520078.

LCM Formula to Find Lowest Common Multiple of 814,199,517,846

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.

814 x 199 x 517 x 846 = 70849760652

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

199 : 1, 199

517 : 1, 11, 47, 517

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,199,517,846, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

199:199

517:11x 47

846:2x 3x 3x 47

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

2x 11x 47 = 1034

Therefore, the value for common factors is 1034.

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 = 70849760652/(1x1034)

LCM = 70849760652/1034

LCM = 68520078

Thus, we can understand that the LCM of 814,199,517,846 is 68520078.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 199, 517, 846

1. What is the LCM of 814, 199, 517, 846?

Answer: LCM of 814, 199, 517, 846 is 68520078.

2. How to calculate the LCM of 814, 199, 517, 846?

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 814, 199, 517, 846.

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}.