LCM of 853, 720, 810, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 720, 810, 207 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 853, 720, 810, 207. So, keep reading to learn more.
Given numbers are 853,720,810,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,720,810,207 is 127131120.
Find LCM of 853,720,810,207 with Prime Factorization
| 2 | 853, 720, 810, 207 |
| 3 | 853, 360, 405, 207 |
| 3 | 853, 120, 135, 69 |
| 5 | 853, 40, 45, 23 |
| 853, 8, 9, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 853 x 8 x 9 x 23 = 127131120
Therefore, the lowest common multiple of 853,720,810,207 is 127131120.
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.
853 x 720 x 810 x 207 = 102976207200
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.
853 : 1, 853
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,720,810,207, is 1.
Now, the common factors can be found like this.
853:853
720:2x 2x 2x 2x 3x 3x 5
810:2x 3x 3x 3x 3x 5
207:3x 3x 23
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 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 102976207200/(1x810)
LCM = 102976207200/810
LCM = 127131120
Thus, we can understand that the LCM of 853,720,810,207 is 127131120.
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FAQs on LCM of 853, 720, 810, 207
1. What is the LCM of 853, 720, 810, 207?
Answer: LCM of 853, 720, 810, 207 is 127131120.
2. How to calculate the LCM of 853, 720, 810, 207?
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 853, 720, 810, 207.
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}.