Find the LCM of 342, 546, 403, 960, 412 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, 546, 403, 960, 412. So, keep reading to learn more.
Given numbers are 342,546,403,960,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,546,403,960,412 is 15899607360.
Find LCM of 342,546,403,960,412 with Prime Factorization
2 | 342, 546, 403, 960, 412 |
2 | 171, 273, 403, 480, 206 |
3 | 171, 273, 403, 240, 103 |
13 | 57, 91, 403, 80, 103 |
57, 7, 31, 80, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 57 x 7 x 31 x 80 x 103 = 15899607360
Therefore, the lowest common multiple of 342,546,403,960,412 is 15899607360.
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 546 x 403 x 960 x 412 = 29764064977920
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
403 : 1, 13, 31, 403
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,546,403,960,412, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
546:2x 3x 7x 13
403:13x 31
960:2x 2x 2x 2x 2x 2x 3x 5
412:2x 2x 103
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 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 29764064977920/(1x1872)
LCM = 29764064977920/1872
LCM = 15899607360
Thus, we can understand that the LCM of 342,546,403,960,412 is 15899607360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 546, 403, 960, 412?
Answer: LCM of 342, 546, 403, 960, 412 is 15899607360.
2. How to calculate the LCM of 342, 546, 403, 960, 412?
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, 546, 403, 960, 412.
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}.