LCM of 885, 337, 633, 720, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 337, 633, 720, 969 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 885, 337, 633, 720, 969. So, keep reading to learn more.
Given numbers are 885,337,633,720,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,337,633,720,969 is 975661991280.
Find LCM of 885,337,633,720,969 with Prime Factorization
| 3 | 885, 337, 633, 720, 969 |
| 5 | 295, 337, 211, 240, 323 |
| 59, 337, 211, 48, 323 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 59 x 337 x 211 x 48 x 323 = 975661991280
Therefore, the lowest common multiple of 885,337,633,720,969 is 975661991280.
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.
885 x 337 x 633 x 720 x 969 = 131714368822800
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
337 : 1, 337
633 : 1, 3, 211, 633
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,337,633,720,969, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
337:337
633:3x 211
720:2x 2x 2x 2x 3x 3x 5
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 131714368822800/(1x135)
LCM = 131714368822800/135
LCM = 975661991280
Thus, we can understand that the LCM of 885,337,633,720,969 is 975661991280.
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FAQs on LCM of 885, 337, 633, 720, 969
1. What is the LCM of 885, 337, 633, 720, 969?
Answer: LCM of 885, 337, 633, 720, 969 is 975661991280.
2. How to calculate the LCM of 885, 337, 633, 720, 969?
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 885, 337, 633, 720, 969.
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}.