Find the LCM of 342, 540, 349, 405 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, 540, 349, 405. So, keep reading to learn more.
Given numbers are 342,540,349,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,540,349,405 is 10742220.
Find LCM of 342,540,349,405 with Prime Factorization
2 | 342, 540, 349, 405 |
3 | 171, 270, 349, 405 |
3 | 57, 90, 349, 135 |
3 | 19, 30, 349, 45 |
5 | 19, 10, 349, 15 |
19, 2, 349, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 19 x 2 x 349 x 3 = 10742220
Therefore, the lowest common multiple of 342,540,349,405 is 10742220.
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 540 x 349 x 405 = 26103594600
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
349 : 1, 349
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,540,349,405, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
540:2x 2x 3x 3x 3x 5
349:349
405:3x 3x 3x 3x 5
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 3x 3x 3x 3x 5 = 2430
Therefore, the value for common factors is 2430.
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 = 26103594600/(1x2430)
LCM = 26103594600/2430
LCM = 10742220
Thus, we can understand that the LCM of 342,540,349,405 is 10742220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 540, 349, 405?
Answer: LCM of 342, 540, 349, 405 is 10742220.
2. How to calculate the LCM of 342, 540, 349, 405?
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, 540, 349, 405.
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}.