LCM of 425, 442, 135, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 425, 442, 135, 214 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 425, 442, 135, 214. So, keep reading to learn more.
Given numbers are 425,442,135,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,442,135,214 is 31923450.
Find LCM of 425,442,135,214 with Prime Factorization
| 2 | 425, 442, 135, 214 |
| 5 | 425, 221, 135, 107 |
| 17 | 85, 221, 27, 107 |
| 5, 13, 27, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 5 x 13 x 27 x 107 = 31923450
Therefore, the lowest common multiple of 425,442,135,214 is 31923450.
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.
425 x 442 x 135 x 214 = 5426986500
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.
425 : 1, 5, 17, 25, 85, 425
442 : 1, 2, 13, 17, 26, 34, 221, 442
135 : 1, 3, 5, 9, 15, 27, 45, 135
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,442,135,214, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
442:2x 13x 17
135:3x 3x 3x 5
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 5426986500/(1x170)
LCM = 5426986500/170
LCM = 31923450
Thus, we can understand that the LCM of 425,442,135,214 is 31923450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 425, 442, 135, 214
1. What is the LCM of 425, 442, 135, 214?
Answer: LCM of 425, 442, 135, 214 is 31923450.
2. How to calculate the LCM of 425, 442, 135, 214?
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 425, 442, 135, 214.
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}.