Find the LCM of 539, 627, 571, 714 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 539, 627, 571, 714. So, keep reading to learn more.
Given numbers are 539,627,571,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,627,571,714 is 596456322.
Find LCM of 539,627,571,714 with Prime Factorization
3 | 539, 627, 571, 714 |
7 | 539, 209, 571, 238 |
11 | 77, 209, 571, 34 |
7, 19, 571, 34 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 7 x 19 x 571 x 34 = 596456322
Therefore, the lowest common multiple of 539,627,571,714 is 596456322.
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.
539 x 627 x 571 x 714 = 137781410382
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.
539 : 1, 7, 11, 49, 77, 539
627 : 1, 3, 11, 19, 33, 57, 209, 627
571 : 1, 571
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,627,571,714, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
627:3x 11x 19
571:571
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 137781410382/(1x231)
LCM = 137781410382/231
LCM = 596456322
Thus, we can understand that the LCM of 539,627,571,714 is 596456322.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 539, 627, 571, 714?
Answer: LCM of 539, 627, 571, 714 is 596456322.
2. How to calculate the LCM of 539, 627, 571, 714?
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 539, 627, 571, 714.
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}.