LCM of 309, 962, 504, 915, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 962, 504, 915, 414 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 309, 962, 504, 915, 414. So, keep reading to learn more.
Given numbers are 309,962,504,915,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,962,504,915,414 is 175162249080.
Find LCM of 309,962,504,915,414 with Prime Factorization
| 2 | 309, 962, 504, 915, 414 |
| 3 | 309, 481, 252, 915, 207 |
| 3 | 103, 481, 84, 305, 69 |
| 103, 481, 28, 305, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 103 x 481 x 28 x 305 x 23 = 175162249080
Therefore, the lowest common multiple of 309,962,504,915,414 is 175162249080.
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.
309 x 962 x 504 x 915 x 414 = 56752568701920
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.
309 : 1, 3, 103, 309
962 : 1, 2, 13, 26, 37, 74, 481, 962
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
915 : 1, 3, 5, 15, 61, 183, 305, 915
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,962,504,915,414, is 1.
Now, the common factors can be found like this.
309:3x 103
962:2x 13x 37
504:2x 2x 2x 3x 3x 7
915:3x 5x 61
414:2x 3x 3x 23
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 3 = 324
Therefore, the value for common factors is 324.
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 = 56752568701920/(1x324)
LCM = 56752568701920/324
LCM = 175162249080
Thus, we can understand that the LCM of 309,962,504,915,414 is 175162249080.
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FAQs on LCM of 309, 962, 504, 915, 414
1. What is the LCM of 309, 962, 504, 915, 414?
Answer: LCM of 309, 962, 504, 915, 414 is 175162249080.
2. How to calculate the LCM of 309, 962, 504, 915, 414?
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 309, 962, 504, 915, 414.
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}.