LCM of 438, 667, 214, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 667, 214, 254 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 438, 667, 214, 254. So, keep reading to learn more.
Given numbers are 438,667,214,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,667,214,254 is 3969971994.
Find LCM of 438,667,214,254 with Prime Factorization
| 2 | 438, 667, 214, 254 |
| 219, 667, 107, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 219 x 667 x 107 x 127 = 3969971994
Therefore, the lowest common multiple of 438,667,214,254 is 3969971994.
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.
438 x 667 x 214 x 254 = 15879887976
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
667 : 1, 23, 29, 667
214 : 1, 2, 107, 214
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,667,214,254, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
667:23x 29
214:2x 107
254:2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 15879887976/(1x4)
LCM = 15879887976/4
LCM = 3969971994
Thus, we can understand that the LCM of 438,667,214,254 is 3969971994.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 438, 667, 214, 254
1. What is the LCM of 438, 667, 214, 254?
Answer: LCM of 438, 667, 214, 254 is 3969971994.
2. How to calculate the LCM of 438, 667, 214, 254?
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 438, 667, 214, 254.
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}.