LCM of 230, 144, 816, 136, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 144, 816, 136, 114 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 230, 144, 816, 136, 114. So, keep reading to learn more.
Given numbers are 230,144,816,136,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,144,816,136,114 is 5348880.
Find LCM of 230,144,816,136,114 with Prime Factorization
| 2 | 230, 144, 816, 136, 114 |
| 2 | 115, 72, 408, 68, 57 |
| 2 | 115, 36, 204, 34, 57 |
| 2 | 115, 18, 102, 17, 57 |
| 3 | 115, 9, 51, 17, 57 |
| 17 | 115, 3, 17, 17, 19 |
| 115, 3, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 115 x 3 x 1 x 1 x 19 = 5348880
Therefore, the lowest common multiple of 230,144,816,136,114 is 5348880.
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.
230 x 144 x 816 x 136 x 114 = 419009863680
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
136 : 1, 2, 4, 8, 17, 34, 68, 136
114 : 1, 2, 3, 6, 19, 38, 57, 114
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,144,816,136,114, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
144:2x 2x 2x 2x 3x 3
816:2x 2x 2x 2x 3x 17
136:2x 2x 2x 17
114:2x 3x 19
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 2x 2x 2x 2x 2x 2x 3x 3x 17 = 39168
Therefore, the value for common factors is 39168.
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 = 419009863680/(2x39168)
LCM = 419009863680/78336
LCM = 5348880
Thus, we can understand that the LCM of 230,144,816,136,114 is 5348880.
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FAQs on LCM of 230, 144, 816, 136, 114
1. What is the LCM of 230, 144, 816, 136, 114?
Answer: LCM of 230, 144, 816, 136, 114 is 5348880.
2. How to calculate the LCM of 230, 144, 816, 136, 114?
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 230, 144, 816, 136, 114.
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}.