LCM of 635, 272, 867, 102, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 272, 867, 102, 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 635, 272, 867, 102, 205. So, keep reading to learn more.
Given numbers are 635,272,867,102,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,272,867,102,205 is 361157520.
Find LCM of 635,272,867,102,205 with Prime Factorization
| 2 | 635, 272, 867, 102, 205 |
| 3 | 635, 136, 867, 51, 205 |
| 5 | 635, 136, 289, 17, 205 |
| 17 | 127, 136, 289, 17, 41 |
| 127, 8, 1, 17, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 127 x 8 x 1 x 17 x 41 = 361157520
Therefore, the lowest common multiple of 635,272,867,102,205 is 361157520.
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.
635 x 272 x 867 x 102 x 205 = 3131235698400
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.
635 : 1, 5, 127, 635
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
867 : 1, 3, 17, 51, 289, 867
102 : 1, 2, 3, 6, 17, 34, 51, 102
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,272,867,102,205, is 1.
Now, the common factors can be found like this.
635:5x 127
272:2x 2x 2x 2x 17
867:3x 17x 17
102:2x 3x 17
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 3x 5x 17x 17 = 8670
Therefore, the value for common factors is 8670.
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 = 3131235698400/(1x8670)
LCM = 3131235698400/8670
LCM = 361157520
Thus, we can understand that the LCM of 635,272,867,102,205 is 361157520.
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FAQs on LCM of 635, 272, 867, 102, 205
1. What is the LCM of 635, 272, 867, 102, 205?
Answer: LCM of 635, 272, 867, 102, 205 is 361157520.
2. How to calculate the LCM of 635, 272, 867, 102, 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 635, 272, 867, 102, 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}.