Find the LCM of 661, 468, 273, 529, 283 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 661, 468, 273, 529, 283. So, keep reading to learn more.
Given numbers are 661,468,273,529,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,468,273,529,283 is 324180927252.
Find LCM of 661,468,273,529,283 with Prime Factorization
3 | 661, 468, 273, 529, 283 |
13 | 661, 156, 91, 529, 283 |
661, 12, 7, 529, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 661 x 12 x 7 x 529 x 283 = 324180927252
Therefore, the lowest common multiple of 661,468,273,529,283 is 324180927252.
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.
661 x 468 x 273 x 529 x 283 = 12643056162828
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.
661 : 1, 661
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
273 : 1, 3, 7, 13, 21, 39, 91, 273
529 : 1, 23, 529
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,468,273,529,283, is 1.
Now, the common factors can be found like this.
661:661
468:2x 2x 3x 3x 13
273:3x 7x 13
529:23x 23
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 12643056162828/(1x39)
LCM = 12643056162828/39
LCM = 324180927252
Thus, we can understand that the LCM of 661,468,273,529,283 is 324180927252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 661, 468, 273, 529, 283?
Answer: LCM of 661, 468, 273, 529, 283 is 324180927252.
2. How to calculate the LCM of 661, 468, 273, 529, 283?
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 661, 468, 273, 529, 283.
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}.