LCM of 809, 650, 617, 858, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 650, 617, 858, 195 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 809, 650, 617, 858, 195. So, keep reading to learn more.
Given numbers are 809,650,617,858,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,650,617,858,195 is 10706831850.
Find LCM of 809,650,617,858,195 with Prime Factorization
| 2 | 809, 650, 617, 858, 195 |
| 3 | 809, 325, 617, 429, 195 |
| 5 | 809, 325, 617, 143, 65 |
| 13 | 809, 13, 617, 143, 65 |
| 809, 1, 617, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 809 x 1 x 617 x 11 x 5 = 10706831850
Therefore, the lowest common multiple of 809,650,617,858,195 is 10706831850.
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.
809 x 650 x 617 x 858 x 195 = 54283637479500
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.
809 : 1, 809
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
617 : 1, 617
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,650,617,858,195, is 1.
Now, the common factors can be found like this.
809:809
650:2x 5x 5x 13
617:617
858:2x 3x 11x 13
195:3x 5x 13
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 13x 13 = 5070
Therefore, the value for common factors is 5070.
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 = 54283637479500/(1x5070)
LCM = 54283637479500/5070
LCM = 10706831850
Thus, we can understand that the LCM of 809,650,617,858,195 is 10706831850.
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FAQs on LCM of 809, 650, 617, 858, 195
1. What is the LCM of 809, 650, 617, 858, 195?
Answer: LCM of 809, 650, 617, 858, 195 is 10706831850.
2. How to calculate the LCM of 809, 650, 617, 858, 195?
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 809, 650, 617, 858, 195.
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}.