Find the LCM of 131, 949, 142, 829, 393 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 131, 949, 142, 829, 393. So, keep reading to learn more.
Given numbers are 131,949,142,829,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,949,142,829,393 is 43903752126.
Find LCM of 131,949,142,829,393 with Prime Factorization
131 | 131, 949, 142, 829, 393 |
1, 949, 142, 829, 3 |
Multiply the prime numbers at the bottom and the left side.
131 x 1 x 949 x 142 x 829 x 3 = 43903752126
Therefore, the lowest common multiple of 131,949,142,829,393 is 43903752126.
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.
131 x 949 x 142 x 829 x 393 = 5751391528506
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.
131 : 1, 131
949 : 1, 13, 73, 949
142 : 1, 2, 71, 142
829 : 1, 829
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,949,142,829,393, is 1.
Now, the common factors can be found like this.
131:131
949:13x 73
142:2x 71
829:829
393:3x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 5751391528506/(1x131)
LCM = 5751391528506/131
LCM = 43903752126
Thus, we can understand that the LCM of 131,949,142,829,393 is 43903752126.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 131, 949, 142, 829, 393?
Answer: LCM of 131, 949, 142, 829, 393 is 43903752126.
2. How to calculate the LCM of 131, 949, 142, 829, 393?
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 131, 949, 142, 829, 393.
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}.