LCM of 576, 137, 261, 231, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 137, 261, 231, 657 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 576, 137, 261, 231, 657. So, keep reading to learn more.
Given numbers are 576,137,261,231,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,137,261,231,657 is 12863366208.
Find LCM of 576,137,261,231,657 with Prime Factorization
| 3 | 576, 137, 261, 231, 657 |
| 3 | 192, 137, 87, 77, 219 |
| 64, 137, 29, 77, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 64 x 137 x 29 x 77 x 73 = 12863366208
Therefore, the lowest common multiple of 576,137,261,231,657 is 12863366208.
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.
576 x 137 x 261 x 231 x 657 = 3125797988544
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
137 : 1, 137
261 : 1, 3, 9, 29, 87, 261
231 : 1, 3, 7, 11, 21, 33, 77, 231
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,137,261,231,657, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
137:137
261:3x 3x 29
231:3x 7x 11
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 3125797988544/(1x243)
LCM = 3125797988544/243
LCM = 12863366208
Thus, we can understand that the LCM of 576,137,261,231,657 is 12863366208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 576, 137, 261, 231, 657
1. What is the LCM of 576, 137, 261, 231, 657?
Answer: LCM of 576, 137, 261, 231, 657 is 12863366208.
2. How to calculate the LCM of 576, 137, 261, 231, 657?
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 576, 137, 261, 231, 657.
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}.