Find the LCM of 752, 541, 195, 442, 993 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 752, 541, 195, 442, 993. So, keep reading to learn more.
Given numbers are 752,541,195,442,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,541,195,442,993 is 446402514480.
Find LCM of 752,541,195,442,993 with Prime Factorization
2 | 752, 541, 195, 442, 993 |
3 | 376, 541, 195, 221, 993 |
13 | 376, 541, 65, 221, 331 |
376, 541, 5, 17, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 376 x 541 x 5 x 17 x 331 = 446402514480
Therefore, the lowest common multiple of 752,541,195,442,993 is 446402514480.
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.
752 x 541 x 195 x 442 x 993 = 34819396129440
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
541 : 1, 541
195 : 1, 3, 5, 13, 15, 39, 65, 195
442 : 1, 2, 13, 17, 26, 34, 221, 442
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,541,195,442,993, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
541:541
195:3x 5x 13
442:2x 13x 17
993:3x 331
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 13 = 78
Therefore, the value for common factors is 78.
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 = 34819396129440/(1x78)
LCM = 34819396129440/78
LCM = 446402514480
Thus, we can understand that the LCM of 752,541,195,442,993 is 446402514480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 752, 541, 195, 442, 993?
Answer: LCM of 752, 541, 195, 442, 993 is 446402514480.
2. How to calculate the LCM of 752, 541, 195, 442, 993?
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 752, 541, 195, 442, 993.
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}.