Find the LCM of 273, 307, 501, 569 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 273, 307, 501, 569. So, keep reading to learn more.
Given numbers are 273,307,501,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,307,501,569 is 7963972653.
Find LCM of 273,307,501,569 with Prime Factorization
3 | 273, 307, 501, 569 |
91, 307, 167, 569 |
Multiply the prime numbers at the bottom and the left side.
3 x 91 x 307 x 167 x 569 = 7963972653
Therefore, the lowest common multiple of 273,307,501,569 is 7963972653.
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.
273 x 307 x 501 x 569 = 23891917959
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
307 : 1, 307
501 : 1, 3, 167, 501
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,307,501,569, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
307:307
501:3x 167
569:569
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 23891917959/(1x3)
LCM = 23891917959/3
LCM = 7963972653
Thus, we can understand that the LCM of 273,307,501,569 is 7963972653.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 307, 501, 569?
Answer: LCM of 273, 307, 501, 569 is 7963972653.
2. How to calculate the LCM of 273, 307, 501, 569?
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 273, 307, 501, 569.
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}.