LCM of 114, 225, 342, 999, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 225, 342, 999, 326 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 114, 225, 342, 999, 326. So, keep reading to learn more.
Given numbers are 114,225,342,999,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,225,342,999,326 is 154695150.
Find LCM of 114,225,342,999,326 with Prime Factorization
| 2 | 114, 225, 342, 999, 326 |
| 3 | 57, 225, 171, 999, 163 |
| 3 | 19, 75, 57, 333, 163 |
| 19 | 19, 25, 19, 111, 163 |
| 1, 25, 1, 111, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 1 x 25 x 1 x 111 x 163 = 154695150
Therefore, the lowest common multiple of 114,225,342,999,326 is 154695150.
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.
114 x 225 x 342 x 999 x 326 = 2856910030200
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
999 : 1, 3, 9, 27, 37, 111, 333, 999
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,225,342,999,326, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
225:3x 3x 5x 5
342:2x 3x 3x 19
999:3x 3x 3x 37
326:2x 163
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 3x 3x 3x 3x 3x 19 = 18468
Therefore, the value for common factors is 18468.
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 = 2856910030200/(1x18468)
LCM = 2856910030200/18468
LCM = 154695150
Thus, we can understand that the LCM of 114,225,342,999,326 is 154695150.
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FAQs on LCM of 114, 225, 342, 999, 326
1. What is the LCM of 114, 225, 342, 999, 326?
Answer: LCM of 114, 225, 342, 999, 326 is 154695150.
2. How to calculate the LCM of 114, 225, 342, 999, 326?
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 114, 225, 342, 999, 326.
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}.