LCM of 869, 345, 138, 108, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 345, 138, 108, 580 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 869, 345, 138, 108, 580. So, keep reading to learn more.
Given numbers are 869,345,138,108,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,345,138,108,580 is 312996420.
Find LCM of 869,345,138,108,580 with Prime Factorization
| 2 | 869, 345, 138, 108, 580 |
| 2 | 869, 345, 69, 54, 290 |
| 3 | 869, 345, 69, 27, 145 |
| 5 | 869, 115, 23, 9, 145 |
| 23 | 869, 23, 23, 9, 29 |
| 869, 1, 1, 9, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 869 x 1 x 1 x 9 x 29 = 312996420
Therefore, the lowest common multiple of 869,345,138,108,580 is 312996420.
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.
869 x 345 x 138 x 108 x 580 = 2591610357600
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.
869 : 1, 11, 79, 869
345 : 1, 3, 5, 15, 23, 69, 115, 345
138 : 1, 2, 3, 6, 23, 46, 69, 138
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,345,138,108,580, is 1.
Now, the common factors can be found like this.
869:11x 79
345:3x 5x 23
138:2x 3x 23
108:2x 2x 3x 3x 3
580:2x 2x 5x 29
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 3x 5x 23 = 8280
Therefore, the value for common factors is 8280.
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 = 2591610357600/(1x8280)
LCM = 2591610357600/8280
LCM = 312996420
Thus, we can understand that the LCM of 869,345,138,108,580 is 312996420.
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FAQs on LCM of 869, 345, 138, 108, 580
1. What is the LCM of 869, 345, 138, 108, 580?
Answer: LCM of 869, 345, 138, 108, 580 is 312996420.
2. How to calculate the LCM of 869, 345, 138, 108, 580?
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 869, 345, 138, 108, 580.
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}.