LCM of 104, 695, 505, 252, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 695, 505, 252, 312 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 104, 695, 505, 252, 312. So, keep reading to learn more.
Given numbers are 104,695,505,252,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,695,505,252,312 is 459917640.
Find LCM of 104,695,505,252,312 with Prime Factorization
| 2 | 104, 695, 505, 252, 312 |
| 2 | 52, 695, 505, 126, 156 |
| 2 | 26, 695, 505, 63, 78 |
| 3 | 13, 695, 505, 63, 39 |
| 5 | 13, 695, 505, 21, 13 |
| 13 | 13, 139, 101, 21, 13 |
| 1, 139, 101, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 1 x 139 x 101 x 21 x 1 = 459917640
Therefore, the lowest common multiple of 104,695,505,252,312 is 459917640.
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.
104 x 695 x 505 x 252 x 312 = 2869886073600
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
695 : 1, 5, 139, 695
505 : 1, 5, 101, 505
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,695,505,252,312, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
695:5x 139
505:5x 101
252:2x 2x 3x 3x 7
312:2x 2x 2x 3x 13
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 3x 5x 13 = 6240
Therefore, the value for common factors is 6240.
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 = 2869886073600/(1x6240)
LCM = 2869886073600/6240
LCM = 459917640
Thus, we can understand that the LCM of 104,695,505,252,312 is 459917640.
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FAQs on LCM of 104, 695, 505, 252, 312
1. What is the LCM of 104, 695, 505, 252, 312?
Answer: LCM of 104, 695, 505, 252, 312 is 459917640.
2. How to calculate the LCM of 104, 695, 505, 252, 312?
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 104, 695, 505, 252, 312.
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}.