Find the LCM of 546, 327, 963, 442, 986 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, 327, 963, 442, 986. So, keep reading to learn more.
Given numbers are 546,327,963,442,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,327,963,442,986 is 9418269042.
Find LCM of 546,327,963,442,986 with Prime Factorization
2 | 546, 327, 963, 442, 986 |
3 | 273, 327, 963, 221, 493 |
13 | 91, 109, 321, 221, 493 |
17 | 7, 109, 321, 17, 493 |
7, 109, 321, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 7 x 109 x 321 x 1 x 29 = 9418269042
Therefore, the lowest common multiple of 546,327,963,442,986 is 9418269042.
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 327 x 963 x 442 x 986 = 74931748498152
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
327 : 1, 3, 109, 327
963 : 1, 3, 9, 107, 321, 963
442 : 1, 2, 13, 17, 26, 34, 221, 442
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,327,963,442,986, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
327:3x 109
963:3x 3x 107
442:2x 13x 17
986:2x 17x 29
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 3x 3x 13x 17 = 7956
Therefore, the value for common factors is 7956.
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 = 74931748498152/(1x7956)
LCM = 74931748498152/7956
LCM = 9418269042
Thus, we can understand that the LCM of 546,327,963,442,986 is 9418269042.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 327, 963, 442, 986?
Answer: LCM of 546, 327, 963, 442, 986 is 9418269042.
2. How to calculate the LCM of 546, 327, 963, 442, 986?
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, 327, 963, 442, 986.
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}.