LCM of 346, 296, 312, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 296, 312, 338 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 346, 296, 312, 338. So, keep reading to learn more.
Given numbers are 346,296,312,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,296,312,338 is 25962456.
Find LCM of 346,296,312,338 with Prime Factorization
| 2 | 346, 296, 312, 338 |
| 2 | 173, 148, 156, 169 |
| 2 | 173, 74, 78, 169 |
| 13 | 173, 37, 39, 169 |
| 173, 37, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 173 x 37 x 3 x 13 = 25962456
Therefore, the lowest common multiple of 346,296,312,338 is 25962456.
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.
346 x 296 x 312 x 338 = 10800381696
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.
346 : 1, 2, 173, 346
296 : 1, 2, 4, 8, 37, 74, 148, 296
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
338 : 1, 2, 13, 26, 169, 338
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,296,312,338, is 2.
Now, the common factors can be found like this.
346:2x 173
296:2x 2x 2x 37
312:2x 2x 2x 3x 13
338:2x 13x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 10800381696/(2x208)
LCM = 10800381696/416
LCM = 25962456
Thus, we can understand that the LCM of 346,296,312,338 is 25962456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 346, 296, 312, 338
1. What is the LCM of 346, 296, 312, 338?
Answer: LCM of 346, 296, 312, 338 is 25962456.
2. How to calculate the LCM of 346, 296, 312, 338?
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 346, 296, 312, 338.
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}.