LCM of 181, 904, 339, 486, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 904, 339, 486, 612 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 181, 904, 339, 486, 612. So, keep reading to learn more.
Given numbers are 181,904,339,486,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,904,339,486,612 is 675930744.
Find LCM of 181,904,339,486,612 with Prime Factorization
| 2 | 181, 904, 339, 486, 612 |
| 2 | 181, 452, 339, 243, 306 |
| 3 | 181, 226, 339, 243, 153 |
| 3 | 181, 226, 113, 81, 51 |
| 113 | 181, 226, 113, 27, 17 |
| 181, 2, 1, 27, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 113 x 181 x 2 x 1 x 27 x 17 = 675930744
Therefore, the lowest common multiple of 181,904,339,486,612 is 675930744.
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.
181 x 904 x 339 x 486 x 612 = 16498117599552
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.
181 : 1, 181
904 : 1, 2, 4, 8, 113, 226, 452, 904
339 : 1, 3, 113, 339
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,904,339,486,612, is 1.
Now, the common factors can be found like this.
181:181
904:2x 2x 2x 113
339:3x 113
486:2x 3x 3x 3x 3x 3
612:2x 2x 3x 3x 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 3x 3x 3x 113 = 24408
Therefore, the value for common factors is 24408.
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 = 16498117599552/(1x24408)
LCM = 16498117599552/24408
LCM = 675930744
Thus, we can understand that the LCM of 181,904,339,486,612 is 675930744.
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FAQs on LCM of 181, 904, 339, 486, 612
1. What is the LCM of 181, 904, 339, 486, 612?
Answer: LCM of 181, 904, 339, 486, 612 is 675930744.
2. How to calculate the LCM of 181, 904, 339, 486, 612?
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 181, 904, 339, 486, 612.
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}.