Find the LCM of 323, 546, 323, 527 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 323, 546, 323, 527. So, keep reading to learn more.
Given numbers are 323,546,323,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,546,323,527 is 5467098.
Find LCM of 323,546,323,527 with Prime Factorization
17 | 323, 546, 323, 527 |
19 | 19, 546, 19, 31 |
1, 546, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
17 x 19 x 1 x 546 x 1 x 31 = 5467098
Therefore, the lowest common multiple of 323,546,323,527 is 5467098.
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.
323 x 546 x 323 x 527 = 30019835118
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.
323 : 1, 17, 19, 323
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
323 : 1, 17, 19, 323
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,546,323,527, is 1.
Now, the common factors can be found like this.
323:17x 19
546:2x 3x 7x 13
323:17x 19
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17x 19 = 5491
Therefore, the value for common factors is 5491.
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 = 30019835118/(1x5491)
LCM = 30019835118/5491
LCM = 5467098
Thus, we can understand that the LCM of 323,546,323,527 is 5467098.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 323, 546, 323, 527?
Answer: LCM of 323, 546, 323, 527 is 5467098.
2. How to calculate the LCM of 323, 546, 323, 527?
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 323, 546, 323, 527.
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}.