Find the LCM of 725, 539, 253, 667 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 725, 539, 253, 667. So, keep reading to learn more.
Given numbers are 725,539,253,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,539,253,667 is 8987825.
Find LCM of 725,539,253,667 with Prime Factorization
11 | 725, 539, 253, 667 |
23 | 725, 49, 23, 667 |
29 | 725, 49, 1, 29 |
25, 49, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 29 x 25 x 49 x 1 x 1 = 8987825
Therefore, the lowest common multiple of 725,539,253,667 is 8987825.
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.
725 x 539 x 253 x 667 = 65943672025
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.
725 : 1, 5, 25, 29, 145, 725
539 : 1, 7, 11, 49, 77, 539
253 : 1, 11, 23, 253
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,539,253,667, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
539:7x 7x 11
253:11x 23
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23x 29 = 7337
Therefore, the value for common factors is 7337.
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 = 65943672025/(1x7337)
LCM = 65943672025/7337
LCM = 8987825
Thus, we can understand that the LCM of 725,539,253,667 is 8987825.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 725, 539, 253, 667?
Answer: LCM of 725, 539, 253, 667 is 8987825.
2. How to calculate the LCM of 725, 539, 253, 667?
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 725, 539, 253, 667.
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}.