Find the LCM of 598, 521, 225, 722 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 598, 521, 225, 722. So, keep reading to learn more.
Given numbers are 598,521,225,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,521,225,722 is 25306298550.
Find LCM of 598,521,225,722 with Prime Factorization
2 | 598, 521, 225, 722 |
299, 521, 225, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 299 x 521 x 225 x 361 = 25306298550
Therefore, the lowest common multiple of 598,521,225,722 is 25306298550.
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.
598 x 521 x 225 x 722 = 50612597100
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
521 : 1, 521
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,521,225,722, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
521:521
225:3x 3x 5x 5
722:2x 19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 50612597100/(1x2)
LCM = 50612597100/2
LCM = 25306298550
Thus, we can understand that the LCM of 598,521,225,722 is 25306298550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 521, 225, 722?
Answer: LCM of 598, 521, 225, 722 is 25306298550.
2. How to calculate the LCM of 598, 521, 225, 722?
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 598, 521, 225, 722.
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}.