Find the LCM of 342, 397, 261, 404 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 342, 397, 261, 404. So, keep reading to learn more.
Given numbers are 342,397,261,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,397,261,404 is 795364092.
Find LCM of 342,397,261,404 with Prime Factorization
2 | 342, 397, 261, 404 |
3 | 171, 397, 261, 202 |
3 | 57, 397, 87, 202 |
19, 397, 29, 202 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 397 x 29 x 202 = 795364092
Therefore, the lowest common multiple of 342,397,261,404 is 795364092.
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.
342 x 397 x 261 x 404 = 14316553656
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
397 : 1, 397
261 : 1, 3, 9, 29, 87, 261
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,397,261,404, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
397:397
261:3x 3x 29
404:2x 2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 14316553656/(1x18)
LCM = 14316553656/18
LCM = 795364092
Thus, we can understand that the LCM of 342,397,261,404 is 795364092.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 397, 261, 404?
Answer: LCM of 342, 397, 261, 404 is 795364092.
2. How to calculate the LCM of 342, 397, 261, 404?
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 342, 397, 261, 404.
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}.