Find the LCM of 586, 442, 661, 769, 542 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 586, 442, 661, 769, 542. So, keep reading to learn more.
Given numbers are 586,442,661,769,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,442,661,769,542 is 17839676710934.
Find LCM of 586,442,661,769,542 with Prime Factorization
2 | 586, 442, 661, 769, 542 |
293, 221, 661, 769, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 293 x 221 x 661 x 769 x 271 = 17839676710934
Therefore, the lowest common multiple of 586,442,661,769,542 is 17839676710934.
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.
586 x 442 x 661 x 769 x 542 = 71358706843736
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.
586 : 1, 2, 293, 586
442 : 1, 2, 13, 17, 26, 34, 221, 442
661 : 1, 661
769 : 1, 769
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,442,661,769,542, is 1.
Now, the common factors can be found like this.
586:2x 293
442:2x 13x 17
661:661
769:769
542:2x 271
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 = 71358706843736/(1x4)
LCM = 71358706843736/4
LCM = 17839676710934
Thus, we can understand that the LCM of 586,442,661,769,542 is 17839676710934.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 442, 661, 769, 542?
Answer: LCM of 586, 442, 661, 769, 542 is 17839676710934.
2. How to calculate the LCM of 586, 442, 661, 769, 542?
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 586, 442, 661, 769, 542.
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}.