LCM of 452, 130, 339, 204, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 130, 339, 204, 551 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 452, 130, 339, 204, 551. So, keep reading to learn more.
Given numbers are 452,130,339,204,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,130,339,204,551 is 825607380.
Find LCM of 452,130,339,204,551 with Prime Factorization
| 2 | 452, 130, 339, 204, 551 |
| 2 | 226, 65, 339, 102, 551 |
| 3 | 113, 65, 339, 51, 551 |
| 113 | 113, 65, 113, 17, 551 |
| 1, 65, 1, 17, 551 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 1 x 65 x 1 x 17 x 551 = 825607380
Therefore, the lowest common multiple of 452,130,339,204,551 is 825607380.
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.
452 x 130 x 339 x 204 x 551 = 2239047214560
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.
452 : 1, 2, 4, 113, 226, 452
130 : 1, 2, 5, 10, 13, 26, 65, 130
339 : 1, 3, 113, 339
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,130,339,204,551, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
130:2x 5x 13
339:3x 113
204:2x 2x 3x 17
551:19x 29
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 3x 113 = 2712
Therefore, the value for common factors is 2712.
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 = 2239047214560/(1x2712)
LCM = 2239047214560/2712
LCM = 825607380
Thus, we can understand that the LCM of 452,130,339,204,551 is 825607380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 452, 130, 339, 204, 551
1. What is the LCM of 452, 130, 339, 204, 551?
Answer: LCM of 452, 130, 339, 204, 551 is 825607380.
2. How to calculate the LCM of 452, 130, 339, 204, 551?
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 452, 130, 339, 204, 551.
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}.