LCM of 108, 361, 420, 726, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 361, 420, 726, 146 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 108, 361, 420, 726, 146. So, keep reading to learn more.
Given numbers are 108,361,420,726,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,361,420,726,146 is 12053335140.
Find LCM of 108,361,420,726,146 with Prime Factorization
| 2 | 108, 361, 420, 726, 146 |
| 2 | 54, 361, 210, 363, 73 |
| 3 | 27, 361, 105, 363, 73 |
| 9, 361, 35, 121, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 9 x 361 x 35 x 121 x 73 = 12053335140
Therefore, the lowest common multiple of 108,361,420,726,146 is 12053335140.
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.
108 x 361 x 420 x 726 x 146 = 1735680260160
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
361 : 1, 19, 361
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,361,420,726,146, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
361:19x 19
420:2x 2x 3x 5x 7
726:2x 3x 11x 11
146:2x 73
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 1735680260160/(1x144)
LCM = 1735680260160/144
LCM = 12053335140
Thus, we can understand that the LCM of 108,361,420,726,146 is 12053335140.
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FAQs on LCM of 108, 361, 420, 726, 146
1. What is the LCM of 108, 361, 420, 726, 146?
Answer: LCM of 108, 361, 420, 726, 146 is 12053335140.
2. How to calculate the LCM of 108, 361, 420, 726, 146?
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 108, 361, 420, 726, 146.
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}.