Find the LCM of 265, 327, 318, 591 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 265, 327, 318, 591. So, keep reading to learn more.
Given numbers are 265,327,318,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,327,318,591 is 34142070.
Find LCM of 265,327,318,591 with Prime Factorization
3 | 265, 327, 318, 591 |
53 | 265, 109, 106, 197 |
5, 109, 2, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 53 x 5 x 109 x 2 x 197 = 34142070
Therefore, the lowest common multiple of 265,327,318,591 is 34142070.
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.
265 x 327 x 318 x 591 = 16285767390
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.
265 : 1, 5, 53, 265
327 : 1, 3, 109, 327
318 : 1, 2, 3, 6, 53, 106, 159, 318
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,327,318,591, is 1.
Now, the common factors can be found like this.
265:5x 53
327:3x 109
318:2x 3x 53
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 53 = 477
Therefore, the value for common factors is 477.
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 = 16285767390/(1x477)
LCM = 16285767390/477
LCM = 34142070
Thus, we can understand that the LCM of 265,327,318,591 is 34142070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 265, 327, 318, 591?
Answer: LCM of 265, 327, 318, 591 is 34142070.
2. How to calculate the LCM of 265, 327, 318, 591?
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 265, 327, 318, 591.
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}.