LCM of 326, 434, 726, 366, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 434, 726, 366, 915 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 326, 434, 726, 366, 915. So, keep reading to learn more.
Given numbers are 326,434,726,366,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,434,726,366,915 is 7832200530.
Find LCM of 326,434,726,366,915 with Prime Factorization
| 2 | 326, 434, 726, 366, 915 |
| 3 | 163, 217, 363, 183, 915 |
| 61 | 163, 217, 121, 61, 305 |
| 163, 217, 121, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 163 x 217 x 121 x 1 x 5 = 7832200530
Therefore, the lowest common multiple of 326,434,726,366,915 is 7832200530.
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.
326 x 434 x 726 x 366 x 915 = 34399024727760
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.
326 : 1, 2, 163, 326
434 : 1, 2, 7, 14, 31, 62, 217, 434
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
366 : 1, 2, 3, 6, 61, 122, 183, 366
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,434,726,366,915, is 1.
Now, the common factors can be found like this.
326:2x 163
434:2x 7x 31
726:2x 3x 11x 11
366:2x 3x 61
915:3x 5x 61
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 61 = 4392
Therefore, the value for common factors is 4392.
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 = 34399024727760/(1x4392)
LCM = 34399024727760/4392
LCM = 7832200530
Thus, we can understand that the LCM of 326,434,726,366,915 is 7832200530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 326, 434, 726, 366, 915
1. What is the LCM of 326, 434, 726, 366, 915?
Answer: LCM of 326, 434, 726, 366, 915 is 7832200530.
2. How to calculate the LCM of 326, 434, 726, 366, 915?
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 326, 434, 726, 366, 915.
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}.