LCM of 378, 288, 214, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 288, 214, 736 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, 288, 214, 736. So, keep reading to learn more.
Given numbers are 378,288,214,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,288,214,736 is 14884128.
Find LCM of 378,288,214,736 with Prime Factorization
| 2 | 378, 288, 214, 736 |
| 2 | 189, 144, 107, 368 |
| 2 | 189, 72, 107, 184 |
| 2 | 189, 36, 107, 92 |
| 2 | 189, 18, 107, 46 |
| 3 | 189, 9, 107, 23 |
| 3 | 63, 3, 107, 23 |
| 21, 1, 107, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 21 x 1 x 107 x 23 = 14884128
Therefore, the lowest common multiple of 378,288,214,736 is 14884128.
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 288 x 214 x 736 = 17146515456
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
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
214 : 1, 2, 107, 214
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,288,214,736, is 2.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
288:2x 2x 2x 2x 2x 3x 3
214:2x 107
736:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 17146515456/(2x576)
LCM = 17146515456/1152
LCM = 14884128
Thus, we can understand that the LCM of 378,288,214,736 is 14884128.
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, 288, 214, 736
1. What is the LCM of 378, 288, 214, 736?
Answer: LCM of 378, 288, 214, 736 is 14884128.
2. How to calculate the LCM of 378, 288, 214, 736?
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, 288, 214, 736.
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}.