LCM of 879, 464, 822, 126, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 464, 822, 126, 816 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 879, 464, 822, 126, 816. So, keep reading to learn more.
Given numbers are 879,464,822,126,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,464,822,126,816 is 19947829104.
Find LCM of 879,464,822,126,816 with Prime Factorization
| 2 | 879, 464, 822, 126, 816 |
| 2 | 879, 232, 411, 63, 408 |
| 2 | 879, 116, 411, 63, 204 |
| 2 | 879, 58, 411, 63, 102 |
| 3 | 879, 29, 411, 63, 51 |
| 293, 29, 137, 21, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 293 x 29 x 137 x 21 x 17 = 19947829104
Therefore, the lowest common multiple of 879,464,822,126,816 is 19947829104.
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.
879 x 464 x 822 x 126 x 816 = 34469848691712
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.
879 : 1, 3, 293, 879
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
822 : 1, 2, 3, 6, 137, 274, 411, 822
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,464,822,126,816, is 1.
Now, the common factors can be found like this.
879:3x 293
464:2x 2x 2x 2x 29
822:2x 3x 137
126:2x 3x 3x 7
816:2x 2x 2x 2x 3x 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 2x 2x 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 34469848691712/(1x1728)
LCM = 34469848691712/1728
LCM = 19947829104
Thus, we can understand that the LCM of 879,464,822,126,816 is 19947829104.
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FAQs on LCM of 879, 464, 822, 126, 816
1. What is the LCM of 879, 464, 822, 126, 816?
Answer: LCM of 879, 464, 822, 126, 816 is 19947829104.
2. How to calculate the LCM of 879, 464, 822, 126, 816?
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 879, 464, 822, 126, 816.
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}.