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LCM of 816, 642, 696, 518, 846

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


Find the LCM of 816, 642, 696, 518, 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 816, 642, 696, 518, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,642,696,518,846

Given numbers are 816,642,696,518,846

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

The LCM of 816,642,696,518,846 is 92467860912.

Find LCM of 816,642,696,518,846 with Prime Factorization


2 816, 642, 696, 518, 846
2 408, 321, 348, 259, 423
2 204, 321, 174, 259, 423
3 102, 321, 87, 259, 423
34, 107, 29, 259, 141

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

2 x 2 x 2 x 3 x 34 x 107 x 29 x 259 x 141 = 92467860912

Therefore, the lowest common multiple of 816,642,696,518,846 is 92467860912.

LCM Formula to Find Lowest Common Multiple of 816,642,696,518,846

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.

816 x 642 x 696 x 518 x 846 = 159784463655936

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.

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

518 : 1, 2, 7, 14, 37, 74, 259, 518

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,642,696,518,846, is 2.

Now, the common factors can be found like this.

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

642:2x 3x 107

696:2x 2x 2x 3x 29

518:2x 7x 37

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 2x 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 159784463655936/(2x864)

LCM = 159784463655936/1728

LCM = 92467860912

Thus, we can understand that the LCM of 816,642,696,518,846 is 92467860912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 642, 696, 518, 846

1. What is the LCM of 816, 642, 696, 518, 846?

Answer: LCM of 816, 642, 696, 518, 846 is 92467860912.

2. How to calculate the LCM of 816, 642, 696, 518, 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 816, 642, 696, 518, 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}.