Find the LCM of 546, 819, 367, 518 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 546, 819, 367, 518. So, keep reading to learn more.
Given numbers are 546,819,367,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,819,367,518 is 22242402.
Find LCM of 546,819,367,518 with Prime Factorization
2 | 546, 819, 367, 518 |
3 | 273, 819, 367, 259 |
7 | 91, 273, 367, 259 |
13 | 13, 39, 367, 37 |
1, 3, 367, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 3 x 367 x 37 = 22242402
Therefore, the lowest common multiple of 546,819,367,518 is 22242402.
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.
546 x 819 x 367 x 518 = 85010460444
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
367 : 1, 367
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,819,367,518, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
819:3x 3x 7x 13
367:367
518:2x 7x 37
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 7x 7x 13 = 3822
Therefore, the value for common factors is 3822.
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 = 85010460444/(1x3822)
LCM = 85010460444/3822
LCM = 22242402
Thus, we can understand that the LCM of 546,819,367,518 is 22242402.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 819, 367, 518?
Answer: LCM of 546, 819, 367, 518 is 22242402.
2. How to calculate the LCM of 546, 819, 367, 518?
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 546, 819, 367, 518.
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}.