LCM of 232, 328, 692, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 328, 692, 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 232, 328, 692, 214. So, keep reading to learn more.
Given numbers are 232,328,692,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,328,692,214 is 176076632.
Find LCM of 232,328,692,214 with Prime Factorization
| 2 | 232, 328, 692, 214 |
| 2 | 116, 164, 346, 107 |
| 2 | 58, 82, 173, 107 |
| 29, 41, 173, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 41 x 173 x 107 = 176076632
Therefore, the lowest common multiple of 232,328,692,214 is 176076632.
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.
232 x 328 x 692 x 214 = 11268904448
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
328 : 1, 2, 4, 8, 41, 82, 164, 328
692 : 1, 2, 4, 173, 346, 692
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,328,692,214, is 2.
Now, the common factors can be found like this.
232:2x 2x 2x 29
328:2x 2x 2x 41
692:2x 2x 173
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 2x 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 11268904448/(2x32)
LCM = 11268904448/64
LCM = 176076632
Thus, we can understand that the LCM of 232,328,692,214 is 176076632.
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FAQs on LCM of 232, 328, 692, 214
1. What is the LCM of 232, 328, 692, 214?
Answer: LCM of 232, 328, 692, 214 is 176076632.
2. How to calculate the LCM of 232, 328, 692, 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 232, 328, 692, 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}.