LCM of 872, 504, 775, 240, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 504, 775, 240, 961 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 872, 504, 775, 240, 961. So, keep reading to learn more.
Given numbers are 872,504,775,240,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,504,775,240,961 is 2639674800.
Find LCM of 872,504,775,240,961 with Prime Factorization
| 2 | 872, 504, 775, 240, 961 |
| 2 | 436, 252, 775, 120, 961 |
| 2 | 218, 126, 775, 60, 961 |
| 3 | 109, 63, 775, 30, 961 |
| 5 | 109, 21, 775, 10, 961 |
| 31 | 109, 21, 155, 2, 961 |
| 109, 21, 5, 2, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 31 x 109 x 21 x 5 x 2 x 31 = 2639674800
Therefore, the lowest common multiple of 872,504,775,240,961 is 2639674800.
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.
872 x 504 x 775 x 240 x 961 = 78556722048000
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
775 : 1, 5, 25, 31, 155, 775
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,504,775,240,961, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
504:2x 2x 2x 3x 3x 7
775:5x 5x 31
240:2x 2x 2x 2x 3x 5
961:31x 31
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 3x 5x 31 = 29760
Therefore, the value for common factors is 29760.
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 = 78556722048000/(1x29760)
LCM = 78556722048000/29760
LCM = 2639674800
Thus, we can understand that the LCM of 872,504,775,240,961 is 2639674800.
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FAQs on LCM of 872, 504, 775, 240, 961
1. What is the LCM of 872, 504, 775, 240, 961?
Answer: LCM of 872, 504, 775, 240, 961 is 2639674800.
2. How to calculate the LCM of 872, 504, 775, 240, 961?
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 872, 504, 775, 240, 961.
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}.