Find the LCM of 542, 541, 556, 414 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, 541, 556, 414. So, keep reading to learn more.
Given numbers are 542,541,556,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,541,556,414 is 16873753212.
Find LCM of 542,541,556,414 with Prime Factorization
2 | 542, 541, 556, 414 |
271, 541, 278, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 271 x 541 x 278 x 207 = 16873753212
Therefore, the lowest common multiple of 542,541,556,414 is 16873753212.
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 541 x 556 x 414 = 67495012848
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
541 : 1, 541
556 : 1, 2, 4, 139, 278, 556
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,541,556,414, is 1.
Now, the common factors can be found like this.
542:2x 271
541:541
556:2x 2x 139
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 67495012848/(1x4)
LCM = 67495012848/4
LCM = 16873753212
Thus, we can understand that the LCM of 542,541,556,414 is 16873753212.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 541, 556, 414?
Answer: LCM of 542, 541, 556, 414 is 16873753212.
2. How to calculate the LCM of 542, 541, 556, 414?
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, 541, 556, 414.
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}.