LCM of 567, 348, 899, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 348, 899, 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 567, 348, 899, 816. So, keep reading to learn more.
Given numbers are 567,348,899,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,348,899,816 is 138647376.
Find LCM of 567,348,899,816 with Prime Factorization
| 2 | 567, 348, 899, 816 |
| 2 | 567, 174, 899, 408 |
| 3 | 567, 87, 899, 204 |
| 29 | 189, 29, 899, 68 |
| 189, 1, 31, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 189 x 1 x 31 x 68 = 138647376
Therefore, the lowest common multiple of 567,348,899,816 is 138647376.
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.
567 x 348 x 899 x 816 = 144747860544
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
899 : 1, 29, 31, 899
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 567,348,899,816, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
348:2x 2x 3x 29
899:29x 31
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 3x 3x 29 = 1044
Therefore, the value for common factors is 1044.
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 = 144747860544/(1x1044)
LCM = 144747860544/1044
LCM = 138647376
Thus, we can understand that the LCM of 567,348,899,816 is 138647376.
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FAQs on LCM of 567, 348, 899, 816
1. What is the LCM of 567, 348, 899, 816?
Answer: LCM of 567, 348, 899, 816 is 138647376.
2. How to calculate the LCM of 567, 348, 899, 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 567, 348, 899, 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}.