LCM of 114, 442, 405, 853, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 442, 405, 853, 675 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 114, 442, 405, 853, 675. So, keep reading to learn more.
Given numbers are 114,442,405,853,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,442,405,853,675 is 14506075350.
Find LCM of 114,442,405,853,675 with Prime Factorization
| 2 | 114, 442, 405, 853, 675 |
| 3 | 57, 221, 405, 853, 675 |
| 3 | 19, 221, 135, 853, 225 |
| 3 | 19, 221, 45, 853, 75 |
| 5 | 19, 221, 15, 853, 25 |
| 19, 221, 3, 853, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 19 x 221 x 3 x 853 x 5 = 14506075350
Therefore, the lowest common multiple of 114,442,405,853,675 is 14506075350.
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.
114 x 442 x 405 x 853 x 675 = 11749921033500
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
442 : 1, 2, 13, 17, 26, 34, 221, 442
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
853 : 1, 853
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,442,405,853,675, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
442:2x 13x 17
405:3x 3x 3x 3x 5
853:853
675:3x 3x 3x 5x 5
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 = 11749921033500/(1x810)
LCM = 11749921033500/810
LCM = 14506075350
Thus, we can understand that the LCM of 114,442,405,853,675 is 14506075350.
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FAQs on LCM of 114, 442, 405, 853, 675
1. What is the LCM of 114, 442, 405, 853, 675?
Answer: LCM of 114, 442, 405, 853, 675 is 14506075350.
2. How to calculate the LCM of 114, 442, 405, 853, 675?
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 114, 442, 405, 853, 675.
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}.