LCM of 858, 195, 825, 786, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 195, 825, 786, 296 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 858, 195, 825, 786, 296. So, keep reading to learn more.
Given numbers are 858,195,825,786,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,195,825,786,296 is 415872600.
Find LCM of 858,195,825,786,296 with Prime Factorization
| 2 | 858, 195, 825, 786, 296 |
| 3 | 429, 195, 825, 393, 148 |
| 5 | 143, 65, 275, 131, 148 |
| 11 | 143, 13, 55, 131, 148 |
| 13 | 13, 13, 5, 131, 148 |
| 1, 1, 5, 131, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 1 x 1 x 5 x 131 x 148 = 415872600
Therefore, the lowest common multiple of 858,195,825,786,296 is 415872600.
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.
858 x 195 x 825 x 786 x 296 = 32113682172000
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
195 : 1, 3, 5, 13, 15, 39, 65, 195
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
786 : 1, 2, 3, 6, 131, 262, 393, 786
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,195,825,786,296, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
195:3x 5x 13
825:3x 5x 5x 11
786:2x 3x 131
296:2x 2x 2x 37
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 3x 3x 3x 5x 11x 13 = 77220
Therefore, the value for common factors is 77220.
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 = 32113682172000/(1x77220)
LCM = 32113682172000/77220
LCM = 415872600
Thus, we can understand that the LCM of 858,195,825,786,296 is 415872600.
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FAQs on LCM of 858, 195, 825, 786, 296
1. What is the LCM of 858, 195, 825, 786, 296?
Answer: LCM of 858, 195, 825, 786, 296 is 415872600.
2. How to calculate the LCM of 858, 195, 825, 786, 296?
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 858, 195, 825, 786, 296.
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}.