Find the LCM of 725, 365, 242, 581, 700 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, 365, 242, 581, 700. So, keep reading to learn more.
Given numbers are 725,365,242,581,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,365,242,581,700 is 14882721700.
Find LCM of 725,365,242,581,700 with Prime Factorization
2 | 725, 365, 242, 581, 700 |
5 | 725, 365, 121, 581, 350 |
5 | 145, 73, 121, 581, 70 |
7 | 29, 73, 121, 581, 14 |
29, 73, 121, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 29 x 73 x 121 x 83 x 2 = 14882721700
Therefore, the lowest common multiple of 725,365,242,581,700 is 14882721700.
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 365 x 242 x 581 x 700 = 26044762975000
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
365 : 1, 5, 73, 365
242 : 1, 2, 11, 22, 121, 242
581 : 1, 7, 83, 581
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,365,242,581,700, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
365:5x 73
242:2x 11x 11
581:7x 83
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 7 = 1750
Therefore, the value for common factors is 1750.
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 = 26044762975000/(1x1750)
LCM = 26044762975000/1750
LCM = 14882721700
Thus, we can understand that the LCM of 725,365,242,581,700 is 14882721700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 725, 365, 242, 581, 700?
Answer: LCM of 725, 365, 242, 581, 700 is 14882721700.
2. How to calculate the LCM of 725, 365, 242, 581, 700?
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, 365, 242, 581, 700.
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}.