LCM of 965, 505, 101, 795, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 505, 101, 795, 225 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 965, 505, 101, 795, 225. So, keep reading to learn more.
Given numbers are 965,505,101,795,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,505,101,795,225 is 232454025.
Find LCM of 965,505,101,795,225 with Prime Factorization
| 3 | 965, 505, 101, 795, 225 |
| 5 | 965, 505, 101, 265, 75 |
| 101 | 193, 101, 101, 53, 15 |
| 193, 1, 1, 53, 15 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 101 x 193 x 1 x 1 x 53 x 15 = 232454025
Therefore, the lowest common multiple of 965,505,101,795,225 is 232454025.
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.
965 x 505 x 101 x 795 x 225 = 8804196196875
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.
965 : 1, 5, 193, 965
505 : 1, 5, 101, 505
101 : 1, 101
795 : 1, 3, 5, 15, 53, 159, 265, 795
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,505,101,795,225, is 1.
Now, the common factors can be found like this.
965:5x 193
505:5x 101
101:101
795:3x 5x 53
225:3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 101 = 37875
Therefore, the value for common factors is 37875.
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 = 8804196196875/(1x37875)
LCM = 8804196196875/37875
LCM = 232454025
Thus, we can understand that the LCM of 965,505,101,795,225 is 232454025.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 965, 505, 101, 795, 225
1. What is the LCM of 965, 505, 101, 795, 225?
Answer: LCM of 965, 505, 101, 795, 225 is 232454025.
2. How to calculate the LCM of 965, 505, 101, 795, 225?
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 965, 505, 101, 795, 225.
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}.