Find the LCM of 627, 420, 394, 591 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 627, 420, 394, 591. So, keep reading to learn more.
Given numbers are 627,420,394,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,420,394,591 is 17292660.
Find LCM of 627,420,394,591 with Prime Factorization
2 | 627, 420, 394, 591 |
3 | 627, 210, 197, 591 |
197 | 209, 70, 197, 197 |
209, 70, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 209 x 70 x 1 x 1 = 17292660
Therefore, the lowest common multiple of 627,420,394,591 is 17292660.
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.
627 x 420 x 394 x 591 = 61319772360
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
394 : 1, 2, 197, 394
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,420,394,591, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
420:2x 2x 3x 5x 7
394:2x 197
591:3x 197
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 3x 197 = 3546
Therefore, the value for common factors is 3546.
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 = 61319772360/(1x3546)
LCM = 61319772360/3546
LCM = 17292660
Thus, we can understand that the LCM of 627,420,394,591 is 17292660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 420, 394, 591?
Answer: LCM of 627, 420, 394, 591 is 17292660.
2. How to calculate the LCM of 627, 420, 394, 591?
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 627, 420, 394, 591.
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}.