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LCM of 115, 635, 816, 551, 884

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


Find the LCM of 115, 635, 816, 551, 884 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 115, 635, 816, 551, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,635,816,551,884

Given numbers are 115,635,816,551,884

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

The LCM of 115,635,816,551,884 is 85366341840.

Find LCM of 115,635,816,551,884 with Prime Factorization


2 115, 635, 816, 551, 884
2 115, 635, 408, 551, 442
5 115, 635, 204, 551, 221
17 23, 127, 204, 551, 221
23, 127, 12, 551, 13

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

2 x 2 x 5 x 17 x 23 x 127 x 12 x 551 x 13 = 85366341840

Therefore, the lowest common multiple of 115,635,816,551,884 is 85366341840.

LCM Formula to Find Lowest Common Multiple of 115,635,816,551,884

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.

115 x 635 x 816 x 551 x 884 = 29024556225600

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.

115 : 1, 5, 23, 115

635 : 1, 5, 127, 635

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

551 : 1, 19, 29, 551

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,635,816,551,884, is 1.

Now, the common factors can be found like this.

115:5x 23

635:5x 127

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

551:19x 29

884:2x 2x 13x 17

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 5x 17 = 340

Therefore, the value for common factors is 340.

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 = 29024556225600/(1x340)

LCM = 29024556225600/340

LCM = 85366341840

Thus, we can understand that the LCM of 115,635,816,551,884 is 85366341840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 635, 816, 551, 884

1. What is the LCM of 115, 635, 816, 551, 884?

Answer: LCM of 115, 635, 816, 551, 884 is 85366341840.

2. How to calculate the LCM of 115, 635, 816, 551, 884?

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 115, 635, 816, 551, 884.

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}.