LCM of 685, 822, 580, 887, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 822, 580, 887, 252 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 685, 822, 580, 887, 252. So, keep reading to learn more.
Given numbers are 685,822,580,887,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,822,580,887,252 is 4440304260.
Find LCM of 685,822,580,887,252 with Prime Factorization
| 2 | 685, 822, 580, 887, 252 |
| 2 | 685, 411, 290, 887, 126 |
| 3 | 685, 411, 145, 887, 63 |
| 5 | 685, 137, 145, 887, 21 |
| 137 | 137, 137, 29, 887, 21 |
| 1, 1, 29, 887, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 137 x 1 x 1 x 29 x 887 x 21 = 4440304260
Therefore, the lowest common multiple of 685,822,580,887,252 is 4440304260.
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.
685 x 822 x 580 x 887 x 252 = 72998602034400
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.
685 : 1, 5, 137, 685
822 : 1, 2, 3, 6, 137, 274, 411, 822
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
887 : 1, 887
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,822,580,887,252, is 1.
Now, the common factors can be found like this.
685:5x 137
822:2x 3x 137
580:2x 2x 5x 29
887:887
252:2x 2x 3x 3x 7
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 3x 5x 137 = 16440
Therefore, the value for common factors is 16440.
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 = 72998602034400/(1x16440)
LCM = 72998602034400/16440
LCM = 4440304260
Thus, we can understand that the LCM of 685,822,580,887,252 is 4440304260.
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FAQs on LCM of 685, 822, 580, 887, 252
1. What is the LCM of 685, 822, 580, 887, 252?
Answer: LCM of 685, 822, 580, 887, 252 is 4440304260.
2. How to calculate the LCM of 685, 822, 580, 887, 252?
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 685, 822, 580, 887, 252.
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}.