LCM of 958, 872, 245, 220, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 872, 245, 220, 205 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 958, 872, 245, 220, 205. So, keep reading to learn more.
Given numbers are 958,872,245,220,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,872,245,220,205 is 46152435560.
Find LCM of 958,872,245,220,205 with Prime Factorization
| 2 | 958, 872, 245, 220, 205 |
| 2 | 479, 436, 245, 110, 205 |
| 5 | 479, 218, 245, 55, 205 |
| 479, 218, 49, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 479 x 218 x 49 x 11 x 41 = 46152435560
Therefore, the lowest common multiple of 958,872,245,220,205 is 46152435560.
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.
958 x 872 x 245 x 220 x 205 = 9230487112000
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.
958 : 1, 2, 479, 958
872 : 1, 2, 4, 8, 109, 218, 436, 872
245 : 1, 5, 7, 35, 49, 245
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,872,245,220,205, is 1.
Now, the common factors can be found like this.
958:2x 479
872:2x 2x 2x 109
245:5x 7x 7
220:2x 2x 5x 11
205:5x 41
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 9230487112000/(1x200)
LCM = 9230487112000/200
LCM = 46152435560
Thus, we can understand that the LCM of 958,872,245,220,205 is 46152435560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 958, 872, 245, 220, 205
1. What is the LCM of 958, 872, 245, 220, 205?
Answer: LCM of 958, 872, 245, 220, 205 is 46152435560.
2. How to calculate the LCM of 958, 872, 245, 220, 205?
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 958, 872, 245, 220, 205.
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}.