LCM of 927, 142, 968, 192, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 142, 968, 192, 813 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 927, 142, 968, 192, 813. So, keep reading to learn more.
Given numbers are 927,142,968,192,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,142,968,192,813 is 138125135808.
Find LCM of 927,142,968,192,813 with Prime Factorization
| 2 | 927, 142, 968, 192, 813 |
| 2 | 927, 71, 484, 96, 813 |
| 2 | 927, 71, 242, 48, 813 |
| 3 | 927, 71, 121, 24, 813 |
| 309, 71, 121, 8, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 309 x 71 x 121 x 8 x 271 = 138125135808
Therefore, the lowest common multiple of 927,142,968,192,813 is 138125135808.
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.
927 x 142 x 968 x 192 x 813 = 19890019556352
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.
927 : 1, 3, 9, 103, 309, 927
142 : 1, 2, 71, 142
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,142,968,192,813, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
142:2x 71
968:2x 2x 2x 11x 11
192:2x 2x 2x 2x 2x 2x 3
813:3x 271
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 19890019556352/(1x144)
LCM = 19890019556352/144
LCM = 138125135808
Thus, we can understand that the LCM of 927,142,968,192,813 is 138125135808.
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FAQs on LCM of 927, 142, 968, 192, 813
1. What is the LCM of 927, 142, 968, 192, 813?
Answer: LCM of 927, 142, 968, 192, 813 is 138125135808.
2. How to calculate the LCM of 927, 142, 968, 192, 813?
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 927, 142, 968, 192, 813.
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}.