LCM of 382, 323, 342, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 323, 342, 221 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 382, 323, 342, 221. So, keep reading to learn more.
Given numbers are 382,323,342,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,323,342,221 is 14436162.
Find LCM of 382,323,342,221 with Prime Factorization
| 2 | 382, 323, 342, 221 |
| 17 | 191, 323, 171, 221 |
| 19 | 191, 19, 171, 13 |
| 191, 1, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 191 x 1 x 9 x 13 = 14436162
Therefore, the lowest common multiple of 382,323,342,221 is 14436162.
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.
382 x 323 x 342 x 221 = 9325760652
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.
382 : 1, 2, 191, 382
323 : 1, 17, 19, 323
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,323,342,221, is 1.
Now, the common factors can be found like this.
382:2x 191
323:17x 19
342:2x 3x 3x 19
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 19 = 646
Therefore, the value for common factors is 646.
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 = 9325760652/(1x646)
LCM = 9325760652/646
LCM = 14436162
Thus, we can understand that the LCM of 382,323,342,221 is 14436162.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 323, 342, 221
1. What is the LCM of 382, 323, 342, 221?
Answer: LCM of 382, 323, 342, 221 is 14436162.
2. How to calculate the LCM of 382, 323, 342, 221?
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 382, 323, 342, 221.
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}.