LCM of 234, 218, 845, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 218, 845, 180 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 234, 218, 845, 180. So, keep reading to learn more.
Given numbers are 234,218,845,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,218,845,180 is 3315780.
Find LCM of 234,218,845,180 with Prime Factorization
| 2 | 234, 218, 845, 180 |
| 3 | 117, 109, 845, 90 |
| 3 | 39, 109, 845, 30 |
| 5 | 13, 109, 845, 10 |
| 13 | 13, 109, 169, 2 |
| 1, 109, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 1 x 109 x 13 x 2 = 3315780
Therefore, the lowest common multiple of 234,218,845,180 is 3315780.
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.
234 x 218 x 845 x 180 = 7758925200
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
218 : 1, 2, 109, 218
845 : 1, 5, 13, 65, 169, 845
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,218,845,180, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
218:2x 109
845:5x 13x 13
180:2x 2x 3x 3x 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 2x 3x 3x 5x 13 = 2340
Therefore, the value for common factors is 2340.
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 = 7758925200/(1x2340)
LCM = 7758925200/2340
LCM = 3315780
Thus, we can understand that the LCM of 234,218,845,180 is 3315780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 234, 218, 845, 180
1. What is the LCM of 234, 218, 845, 180?
Answer: LCM of 234, 218, 845, 180 is 3315780.
2. How to calculate the LCM of 234, 218, 845, 180?
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 234, 218, 845, 180.
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}.