LCM of 969, 428, 218, 850, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 428, 218, 850, 505 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 969, 428, 218, 850, 505. So, keep reading to learn more.
Given numbers are 969,428,218,850,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,428,218,850,505 is 114144614700.
Find LCM of 969,428,218,850,505 with Prime Factorization
| 2 | 969, 428, 218, 850, 505 |
| 5 | 969, 214, 109, 425, 505 |
| 17 | 969, 214, 109, 85, 101 |
| 57, 214, 109, 5, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 57 x 214 x 109 x 5 x 101 = 114144614700
Therefore, the lowest common multiple of 969,428,218,850,505 is 114144614700.
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.
969 x 428 x 218 x 850 x 505 = 38809168998000
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
428 : 1, 2, 4, 107, 214, 428
218 : 1, 2, 109, 218
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,428,218,850,505, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
428:2x 2x 107
218:2x 109
850:2x 5x 5x 17
505:5x 101
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 38809168998000/(1x340)
LCM = 38809168998000/340
LCM = 114144614700
Thus, we can understand that the LCM of 969,428,218,850,505 is 114144614700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 428, 218, 850, 505
1. What is the LCM of 969, 428, 218, 850, 505?
Answer: LCM of 969, 428, 218, 850, 505 is 114144614700.
2. How to calculate the LCM of 969, 428, 218, 850, 505?
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 969, 428, 218, 850, 505.
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}.