Find the LCM of 252, 153, 310, 622, 983 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 252, 153, 310, 622, 983. So, keep reading to learn more.
Given numbers are 252,153,310,622,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,153,310,622,983 is 202999546260.
Find LCM of 252,153,310,622,983 with Prime Factorization
2 | 252, 153, 310, 622, 983 |
3 | 126, 153, 155, 311, 983 |
3 | 42, 51, 155, 311, 983 |
14, 17, 155, 311, 983 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 14 x 17 x 155 x 311 x 983 = 202999546260
Therefore, the lowest common multiple of 252,153,310,622,983 is 202999546260.
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.
252 x 153 x 310 x 622 x 983 = 7307983665360
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
153 : 1, 3, 9, 17, 51, 153
310 : 1, 2, 5, 10, 31, 62, 155, 310
622 : 1, 2, 311, 622
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,153,310,622,983, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
153:3x 3x 17
310:2x 5x 31
622:2x 311
983:983
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 3 = 36
Therefore, the value for common factors is 36.
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 = 7307983665360/(1x36)
LCM = 7307983665360/36
LCM = 202999546260
Thus, we can understand that the LCM of 252,153,310,622,983 is 202999546260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 252, 153, 310, 622, 983?
Answer: LCM of 252, 153, 310, 622, 983 is 202999546260.
2. How to calculate the LCM of 252, 153, 310, 622, 983?
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 252, 153, 310, 622, 983.
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}.