LCM of 115, 762, 924, 720, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 762, 924, 720, 231 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 115, 762, 924, 720, 231. So, keep reading to learn more.
Given numbers are 115,762,924,720,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,762,924,720,231 is 161940240.
Find LCM of 115,762,924,720,231 with Prime Factorization
| 2 | 115, 762, 924, 720, 231 |
| 2 | 115, 381, 462, 360, 231 |
| 3 | 115, 381, 231, 180, 231 |
| 5 | 115, 127, 77, 60, 77 |
| 7 | 23, 127, 77, 12, 77 |
| 11 | 23, 127, 11, 12, 11 |
| 23, 127, 1, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 23 x 127 x 1 x 12 x 1 = 161940240
Therefore, the lowest common multiple of 115,762,924,720,231 is 161940240.
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.
115 x 762 x 924 x 720 x 231 = 13466950358400
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.
115 : 1, 5, 23, 115
762 : 1, 2, 3, 6, 127, 254, 381, 762
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,762,924,720,231, is 1.
Now, the common factors can be found like this.
115:5x 23
762:2x 3x 127
924:2x 2x 3x 7x 11
720:2x 2x 2x 2x 3x 3x 5
231:3x 7x 11
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 3x 3x 3x 5x 7x 11 = 83160
Therefore, the value for common factors is 83160.
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 = 13466950358400/(1x83160)
LCM = 13466950358400/83160
LCM = 161940240
Thus, we can understand that the LCM of 115,762,924,720,231 is 161940240.
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FAQs on LCM of 115, 762, 924, 720, 231
1. What is the LCM of 115, 762, 924, 720, 231?
Answer: LCM of 115, 762, 924, 720, 231 is 161940240.
2. How to calculate the LCM of 115, 762, 924, 720, 231?
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 115, 762, 924, 720, 231.
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}.