LCM of 238, 384, 591, 983, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 384, 591, 983, 952 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 238, 384, 591, 983, 952. So, keep reading to learn more.
Given numbers are 238,384,591,983,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,384,591,983,952 is 8849076096.
Find LCM of 238,384,591,983,952 with Prime Factorization
| 2 | 238, 384, 591, 983, 952 |
| 2 | 119, 192, 591, 983, 476 |
| 2 | 119, 96, 591, 983, 238 |
| 3 | 119, 48, 591, 983, 119 |
| 7 | 119, 16, 197, 983, 119 |
| 17 | 17, 16, 197, 983, 17 |
| 1, 16, 197, 983, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 1 x 16 x 197 x 983 x 1 = 8849076096
Therefore, the lowest common multiple of 238,384,591,983,952 is 8849076096.
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.
238 x 384 x 591 x 983 x 952 = 50545922660352
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
591 : 1, 3, 197, 591
983 : 1, 983
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,384,591,983,952, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
384:2x 2x 2x 2x 2x 2x 2x 3
591:3x 197
983:983
952:2x 2x 2x 7x 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 3x 7x 17 = 5712
Therefore, the value for common factors is 5712.
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 = 50545922660352/(1x5712)
LCM = 50545922660352/5712
LCM = 8849076096
Thus, we can understand that the LCM of 238,384,591,983,952 is 8849076096.
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FAQs on LCM of 238, 384, 591, 983, 952
1. What is the LCM of 238, 384, 591, 983, 952?
Answer: LCM of 238, 384, 591, 983, 952 is 8849076096.
2. How to calculate the LCM of 238, 384, 591, 983, 952?
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 238, 384, 591, 983, 952.
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}.