Find the LCM of 336, 345, 989, 261, 601 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 336, 345, 989, 261, 601. So, keep reading to learn more.
Given numbers are 336,345,989,261,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,345,989,261,601 is 86875896240.
Find LCM of 336,345,989,261,601 with Prime Factorization
3 | 336, 345, 989, 261, 601 |
23 | 112, 115, 989, 87, 601 |
112, 5, 43, 87, 601 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 112 x 5 x 43 x 87 x 601 = 86875896240
Therefore, the lowest common multiple of 336,345,989,261,601 is 86875896240.
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.
336 x 345 x 989 x 261 x 601 = 17983310521680
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
345 : 1, 3, 5, 15, 23, 69, 115, 345
989 : 1, 23, 43, 989
261 : 1, 3, 9, 29, 87, 261
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,345,989,261,601, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
345:3x 5x 23
989:23x 43
261:3x 3x 29
601:601
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 17983310521680/(1x207)
LCM = 17983310521680/207
LCM = 86875896240
Thus, we can understand that the LCM of 336,345,989,261,601 is 86875896240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 345, 989, 261, 601?
Answer: LCM of 336, 345, 989, 261, 601 is 86875896240.
2. How to calculate the LCM of 336, 345, 989, 261, 601?
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 336, 345, 989, 261, 601.
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}.