LCM of 886, 927, 576, 534, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 927, 576, 534, 531 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 886, 927, 576, 534, 531. So, keep reading to learn more.
Given numbers are 886,927,576,534,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,927,576,534,531 is 138008378304.
Find LCM of 886,927,576,534,531 with Prime Factorization
| 2 | 886, 927, 576, 534, 531 |
| 3 | 443, 927, 288, 267, 531 |
| 3 | 443, 309, 96, 89, 177 |
| 443, 103, 32, 89, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 443 x 103 x 32 x 89 x 59 = 138008378304
Therefore, the lowest common multiple of 886,927,576,534,531 is 138008378304.
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.
886 x 927 x 576 x 534 x 531 = 134144143711488
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.
886 : 1, 2, 443, 886
927 : 1, 3, 9, 103, 309, 927
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
534 : 1, 2, 3, 6, 89, 178, 267, 534
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,927,576,534,531, is 1.
Now, the common factors can be found like this.
886:2x 443
927:3x 3x 103
576:2x 2x 2x 2x 2x 2x 3x 3
534:2x 3x 89
531:3x 3x 59
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 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 134144143711488/(1x972)
LCM = 134144143711488/972
LCM = 138008378304
Thus, we can understand that the LCM of 886,927,576,534,531 is 138008378304.
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FAQs on LCM of 886, 927, 576, 534, 531
1. What is the LCM of 886, 927, 576, 534, 531?
Answer: LCM of 886, 927, 576, 534, 531 is 138008378304.
2. How to calculate the LCM of 886, 927, 576, 534, 531?
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 886, 927, 576, 534, 531.
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}.