LCM of 622, 816, 624, 969, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 816, 624, 969, 136 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 622, 816, 624, 969, 136. So, keep reading to learn more.
Given numbers are 622,816,624,969,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,816,624,969,136 is 62682672.
Find LCM of 622,816,624,969,136 with Prime Factorization
| 2 | 622, 816, 624, 969, 136 |
| 2 | 311, 408, 312, 969, 68 |
| 2 | 311, 204, 156, 969, 34 |
| 2 | 311, 102, 78, 969, 17 |
| 3 | 311, 51, 39, 969, 17 |
| 17 | 311, 17, 13, 323, 17 |
| 311, 1, 13, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 311 x 1 x 13 x 19 x 1 = 62682672
Therefore, the lowest common multiple of 622,816,624,969,136 is 62682672.
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.
622 x 816 x 624 x 969 x 136 = 41737633247232
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.
622 : 1, 2, 311, 622
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
969 : 1, 3, 17, 19, 51, 57, 323, 969
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,816,624,969,136, is 1.
Now, the common factors can be found like this.
622:2x 311
816:2x 2x 2x 2x 3x 17
624:2x 2x 2x 2x 3x 13
969:3x 17x 19
136:2x 2x 2x 17
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 2x 2x 2x 2x 3x 3x 17x 17 = 665856
Therefore, the value for common factors is 665856.
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 = 41737633247232/(1x665856)
LCM = 41737633247232/665856
LCM = 62682672
Thus, we can understand that the LCM of 622,816,624,969,136 is 62682672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 622, 816, 624, 969, 136
1. What is the LCM of 622, 816, 624, 969, 136?
Answer: LCM of 622, 816, 624, 969, 136 is 62682672.
2. How to calculate the LCM of 622, 816, 624, 969, 136?
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 622, 816, 624, 969, 136.
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}.