Find the LCM of 542, 489, 721, 170, 747 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, 489, 721, 170, 747. So, keep reading to learn more.
Given numbers are 542,489,721,170,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,489,721,170,747 is 4044470603670.
Find LCM of 542,489,721,170,747 with Prime Factorization
2 | 542, 489, 721, 170, 747 |
3 | 271, 489, 721, 85, 747 |
271, 163, 721, 85, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 271 x 163 x 721 x 85 x 249 = 4044470603670
Therefore, the lowest common multiple of 542,489,721,170,747 is 4044470603670.
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 489 x 721 x 170 x 747 = 24266823622020
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
489 : 1, 3, 163, 489
721 : 1, 7, 103, 721
170 : 1, 2, 5, 10, 17, 34, 85, 170
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,489,721,170,747, is 1.
Now, the common factors can be found like this.
542:2x 271
489:3x 163
721:7x 103
170:2x 5x 17
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 24266823622020/(1x6)
LCM = 24266823622020/6
LCM = 4044470603670
Thus, we can understand that the LCM of 542,489,721,170,747 is 4044470603670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 489, 721, 170, 747?
Answer: LCM of 542, 489, 721, 170, 747 is 4044470603670.
2. How to calculate the LCM of 542, 489, 721, 170, 747?
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, 489, 721, 170, 747.
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}.