LCM of 378, 770, 211, 368, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 770, 211, 368, 115 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 378, 770, 211, 368, 115. So, keep reading to learn more.
Given numbers are 378,770,211,368,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,770,211,368,115 is 807150960.
Find LCM of 378,770,211,368,115 with Prime Factorization
| 2 | 378, 770, 211, 368, 115 |
| 5 | 189, 385, 211, 184, 115 |
| 7 | 189, 77, 211, 184, 23 |
| 23 | 27, 11, 211, 184, 23 |
| 27, 11, 211, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 23 x 27 x 11 x 211 x 8 x 1 = 807150960
Therefore, the lowest common multiple of 378,770,211,368,115 is 807150960.
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.
378 x 770 x 211 x 368 x 115 = 2599026091200
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
211 : 1, 211
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,770,211,368,115, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
770:2x 5x 7x 11
211:211
368:2x 2x 2x 2x 23
115:5x 23
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 5x 7x 23 = 3220
Therefore, the value for common factors is 3220.
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 = 2599026091200/(1x3220)
LCM = 2599026091200/3220
LCM = 807150960
Thus, we can understand that the LCM of 378,770,211,368,115 is 807150960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 378, 770, 211, 368, 115
1. What is the LCM of 378, 770, 211, 368, 115?
Answer: LCM of 378, 770, 211, 368, 115 is 807150960.
2. How to calculate the LCM of 378, 770, 211, 368, 115?
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 378, 770, 211, 368, 115.
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}.