Find the LCM of 142, 935, 910, 445, 538 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 142, 935, 910, 445, 538. So, keep reading to learn more.
Given numbers are 142,935,910,445,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,935,910,445,538 is 289256837870.
Find LCM of 142,935,910,445,538 with Prime Factorization
2 | 142, 935, 910, 445, 538 |
5 | 71, 935, 455, 445, 269 |
71, 187, 91, 89, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 71 x 187 x 91 x 89 x 269 = 289256837870
Therefore, the lowest common multiple of 142,935,910,445,538 is 289256837870.
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.
142 x 935 x 910 x 445 x 538 = 28925683787000
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.
142 : 1, 2, 71, 142
935 : 1, 5, 11, 17, 55, 85, 187, 935
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
445 : 1, 5, 89, 445
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,935,910,445,538, is 1.
Now, the common factors can be found like this.
142:2x 71
935:5x 11x 17
910:2x 5x 7x 13
445:5x 89
538:2x 269
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 28925683787000/(1x100)
LCM = 28925683787000/100
LCM = 289256837870
Thus, we can understand that the LCM of 142,935,910,445,538 is 289256837870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 142, 935, 910, 445, 538?
Answer: LCM of 142, 935, 910, 445, 538 is 289256837870.
2. How to calculate the LCM of 142, 935, 910, 445, 538?
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 142, 935, 910, 445, 538.
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}.