LCM of 725, 856, 459, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 856, 459, 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 725, 856, 459, 214. So, keep reading to learn more.
Given numbers are 725,856,459,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,856,459,214 is 284855400.
Find LCM of 725,856,459,214 with Prime Factorization
| 2 | 725, 856, 459, 214 |
| 107 | 725, 428, 459, 107 |
| 725, 4, 459, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 725 x 4 x 459 x 1 = 284855400
Therefore, the lowest common multiple of 725,856,459,214 is 284855400.
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.
725 x 856 x 459 x 214 = 60959055600
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.
725 : 1, 5, 25, 29, 145, 725
856 : 1, 2, 4, 8, 107, 214, 428, 856
459 : 1, 3, 9, 17, 27, 51, 153, 459
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,856,459,214, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
856:2x 2x 2x 107
459:3x 3x 3x 17
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 107 = 214
Therefore, the value for common factors is 214.
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 = 60959055600/(1x214)
LCM = 60959055600/214
LCM = 284855400
Thus, we can understand that the LCM of 725,856,459,214 is 284855400.
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FAQs on LCM of 725, 856, 459, 214
1. What is the LCM of 725, 856, 459, 214?
Answer: LCM of 725, 856, 459, 214 is 284855400.
2. How to calculate the LCM of 725, 856, 459, 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 725, 856, 459, 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}.