LCM of 589, 762, 238, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 762, 238, 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 589, 762, 238, 214. So, keep reading to learn more.
Given numbers are 589,762,238,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,762,238,214 is 5714799594.
Find LCM of 589,762,238,214 with Prime Factorization
| 2 | 589, 762, 238, 214 |
| 589, 381, 119, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 589 x 381 x 119 x 107 = 5714799594
Therefore, the lowest common multiple of 589,762,238,214 is 5714799594.
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.
589 x 762 x 238 x 214 = 22859198376
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.
589 : 1, 19, 31, 589
762 : 1, 2, 3, 6, 127, 254, 381, 762
238 : 1, 2, 7, 14, 17, 34, 119, 238
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,762,238,214, is 1.
Now, the common factors can be found like this.
589:19x 31
762:2x 3x 127
238:2x 7x 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 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 = 22859198376/(1x4)
LCM = 22859198376/4
LCM = 5714799594
Thus, we can understand that the LCM of 589,762,238,214 is 5714799594.
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FAQs on LCM of 589, 762, 238, 214
1. What is the LCM of 589, 762, 238, 214?
Answer: LCM of 589, 762, 238, 214 is 5714799594.
2. How to calculate the LCM of 589, 762, 238, 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 589, 762, 238, 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}.