Find the LCM of 523, 309, 665, 939, 304 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 523, 309, 665, 939, 304. So, keep reading to learn more.
Given numbers are 523,309,665,939,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,309,665,939,304 is 538203024240.
Find LCM of 523,309,665,939,304 with Prime Factorization
3 | 523, 309, 665, 939, 304 |
19 | 523, 103, 665, 313, 304 |
523, 103, 35, 313, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 523 x 103 x 35 x 313 x 16 = 538203024240
Therefore, the lowest common multiple of 523,309,665,939,304 is 538203024240.
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.
523 x 309 x 665 x 939 x 304 = 30677572381680
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.
523 : 1, 523
309 : 1, 3, 103, 309
665 : 1, 5, 7, 19, 35, 95, 133, 665
939 : 1, 3, 313, 939
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,309,665,939,304, is 1.
Now, the common factors can be found like this.
523:523
309:3x 103
665:5x 7x 19
939:3x 313
304:2x 2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 30677572381680/(1x57)
LCM = 30677572381680/57
LCM = 538203024240
Thus, we can understand that the LCM of 523,309,665,939,304 is 538203024240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 523, 309, 665, 939, 304?
Answer: LCM of 523, 309, 665, 939, 304 is 538203024240.
2. How to calculate the LCM of 523, 309, 665, 939, 304?
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 523, 309, 665, 939, 304.
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}.