LCM of 993, 888, 650, 908, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 888, 650, 908, 486 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 993, 888, 650, 908, 486. So, keep reading to learn more.
Given numbers are 993,888,650,908,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,888,650,908,486 is 1756447594200.
Find LCM of 993,888,650,908,486 with Prime Factorization
| 2 | 993, 888, 650, 908, 486 |
| 2 | 993, 444, 325, 454, 243 |
| 3 | 993, 222, 325, 227, 243 |
| 331, 74, 325, 227, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 331 x 74 x 325 x 227 x 81 = 1756447594200
Therefore, the lowest common multiple of 993,888,650,908,486 is 1756447594200.
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.
993 x 888 x 650 x 908 x 486 = 252928453564800
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.
993 : 1, 3, 331, 993
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
908 : 1, 2, 4, 227, 454, 908
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,888,650,908,486, is 1.
Now, the common factors can be found like this.
993:3x 331
888:2x 2x 2x 3x 37
650:2x 5x 5x 13
908:2x 2x 227
486:2x 3x 3x 3x 3x 3
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 = 252928453564800/(1x144)
LCM = 252928453564800/144
LCM = 1756447594200
Thus, we can understand that the LCM of 993,888,650,908,486 is 1756447594200.
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FAQs on LCM of 993, 888, 650, 908, 486
1. What is the LCM of 993, 888, 650, 908, 486?
Answer: LCM of 993, 888, 650, 908, 486 is 1756447594200.
2. How to calculate the LCM of 993, 888, 650, 908, 486?
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 993, 888, 650, 908, 486.
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}.