LCM of 115, 734, 456, 144, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 734, 456, 144, 116 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, 734, 456, 144, 116. So, keep reading to learn more.
Given numbers are 115,734,456,144,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,734,456,144,116 is 3348713520.
Find LCM of 115,734,456,144,116 with Prime Factorization
| 2 | 115, 734, 456, 144, 116 |
| 2 | 115, 367, 228, 72, 58 |
| 2 | 115, 367, 114, 36, 29 |
| 3 | 115, 367, 57, 18, 29 |
| 115, 367, 19, 6, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 115 x 367 x 19 x 6 x 29 = 3348713520
Therefore, the lowest common multiple of 115,734,456,144,116 is 3348713520.
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 734 x 456 x 144 x 116 = 642952995840
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
734 : 1, 2, 367, 734
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,734,456,144,116, is 1.
Now, the common factors can be found like this.
115:5x 23
734:2x 367
456:2x 2x 2x 3x 19
144:2x 2x 2x 2x 3x 3
116:2x 2x 29
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 3 = 192
Therefore, the value for common factors is 192.
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 = 642952995840/(1x192)
LCM = 642952995840/192
LCM = 3348713520
Thus, we can understand that the LCM of 115,734,456,144,116 is 3348713520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 115, 734, 456, 144, 116
1. What is the LCM of 115, 734, 456, 144, 116?
Answer: LCM of 115, 734, 456, 144, 116 is 3348713520.
2. How to calculate the LCM of 115, 734, 456, 144, 116?
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, 734, 456, 144, 116.
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}.