LCM of 922, 515, 845, 309, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 515, 845, 309, 338 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 922, 515, 845, 309, 338. So, keep reading to learn more.
Given numbers are 922,515,845,309,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,515,845,309,338 is 240738810.
Find LCM of 922,515,845,309,338 with Prime Factorization
| 2 | 922, 515, 845, 309, 338 |
| 5 | 461, 515, 845, 309, 169 |
| 13 | 461, 103, 169, 309, 169 |
| 13 | 461, 103, 13, 309, 13 |
| 103 | 461, 103, 1, 309, 1 |
| 461, 1, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 13 x 103 x 461 x 1 x 1 x 3 x 1 = 240738810
Therefore, the lowest common multiple of 922,515,845,309,338 is 240738810.
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.
922 x 515 x 845 x 309 x 338 = 41905404656700
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.
922 : 1, 2, 461, 922
515 : 1, 5, 103, 515
845 : 1, 5, 13, 65, 169, 845
309 : 1, 3, 103, 309
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,515,845,309,338, is 1.
Now, the common factors can be found like this.
922:2x 461
515:5x 103
845:5x 13x 13
309:3x 103
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13x 103 = 174070
Therefore, the value for common factors is 174070.
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 = 41905404656700/(1x174070)
LCM = 41905404656700/174070
LCM = 240738810
Thus, we can understand that the LCM of 922,515,845,309,338 is 240738810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 922, 515, 845, 309, 338
1. What is the LCM of 922, 515, 845, 309, 338?
Answer: LCM of 922, 515, 845, 309, 338 is 240738810.
2. How to calculate the LCM of 922, 515, 845, 309, 338?
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 922, 515, 845, 309, 338.
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}.