Find the LCM of 541, 845, 546, 975 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 541, 845, 546, 975. So, keep reading to learn more.
Given numbers are 541,845,546,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,845,546,975 is 96000450.
Find LCM of 541,845,546,975 with Prime Factorization
3 | 541, 845, 546, 975 |
5 | 541, 845, 182, 325 |
13 | 541, 169, 182, 65 |
541, 13, 14, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 541 x 13 x 14 x 5 = 96000450
Therefore, the lowest common multiple of 541,845,546,975 is 96000450.
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.
541 x 845 x 546 x 975 = 243361140750
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.
541 : 1, 541
845 : 1, 5, 13, 65, 169, 845
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,845,546,975, is 1.
Now, the common factors can be found like this.
541:541
845:5x 13x 13
546:2x 3x 7x 13
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13x 13 = 2535
Therefore, the value for common factors is 2535.
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 = 243361140750/(1x2535)
LCM = 243361140750/2535
LCM = 96000450
Thus, we can understand that the LCM of 541,845,546,975 is 96000450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 541, 845, 546, 975?
Answer: LCM of 541, 845, 546, 975 is 96000450.
2. How to calculate the LCM of 541, 845, 546, 975?
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 541, 845, 546, 975.
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}.