Find the LCM of 842, 543, 382, 535, 806 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 842, 543, 382, 535, 806. So, keep reading to learn more.
Given numbers are 842,543,382,535,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,543,382,535,806 is 18827996829330.
Find LCM of 842,543,382,535,806 with Prime Factorization
2 | 842, 543, 382, 535, 806 |
421, 543, 191, 535, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 421 x 543 x 191 x 535 x 403 = 18827996829330
Therefore, the lowest common multiple of 842,543,382,535,806 is 18827996829330.
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.
842 x 543 x 382 x 535 x 806 = 75311987317320
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.
842 : 1, 2, 421, 842
543 : 1, 3, 181, 543
382 : 1, 2, 191, 382
535 : 1, 5, 107, 535
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,543,382,535,806, is 1.
Now, the common factors can be found like this.
842:2x 421
543:3x 181
382:2x 191
535:5x 107
806:2x 13x 31
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 = 75311987317320/(1x4)
LCM = 75311987317320/4
LCM = 18827996829330
Thus, we can understand that the LCM of 842,543,382,535,806 is 18827996829330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 842, 543, 382, 535, 806?
Answer: LCM of 842, 543, 382, 535, 806 is 18827996829330.
2. How to calculate the LCM of 842, 543, 382, 535, 806?
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 842, 543, 382, 535, 806.
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}.