Find the LCM of 542, 469, 871, 194 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 542, 469, 871, 194. So, keep reading to learn more.
Given numbers are 542,469,871,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,469,871,194 is 320543678.
Find LCM of 542,469,871,194 with Prime Factorization
2 | 542, 469, 871, 194 |
67 | 271, 469, 871, 97 |
271, 7, 13, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 271 x 7 x 13 x 97 = 320543678
Therefore, the lowest common multiple of 542,469,871,194 is 320543678.
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.
542 x 469 x 871 x 194 = 42952852852
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.
542 : 1, 2, 271, 542
469 : 1, 7, 67, 469
871 : 1, 13, 67, 871
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,469,871,194, is 1.
Now, the common factors can be found like this.
542:2x 271
469:7x 67
871:13x 67
194:2x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 67 = 134
Therefore, the value for common factors is 134.
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 = 42952852852/(1x134)
LCM = 42952852852/134
LCM = 320543678
Thus, we can understand that the LCM of 542,469,871,194 is 320543678.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 469, 871, 194?
Answer: LCM of 542, 469, 871, 194 is 320543678.
2. How to calculate the LCM of 542, 469, 871, 194?
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 542, 469, 871, 194.
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}.