Find the LCM of 589, 242, 674, 604, 268 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 589, 242, 674, 604, 268. So, keep reading to learn more.
Given numbers are 589,242,674,604,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,242,674,604,268 is 971946381604.
Find LCM of 589,242,674,604,268 with Prime Factorization
2 | 589, 242, 674, 604, 268 |
2 | 589, 121, 337, 302, 134 |
589, 121, 337, 151, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 589 x 121 x 337 x 151 x 67 = 971946381604
Therefore, the lowest common multiple of 589,242,674,604,268 is 971946381604.
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.
589 x 242 x 674 x 604 x 268 = 15551142105664
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.
589 : 1, 19, 31, 589
242 : 1, 2, 11, 22, 121, 242
674 : 1, 2, 337, 674
604 : 1, 2, 4, 151, 302, 604
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,242,674,604,268, is 1.
Now, the common factors can be found like this.
589:19x 31
242:2x 11x 11
674:2x 337
604:2x 2x 151
268:2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 15551142105664/(1x16)
LCM = 15551142105664/16
LCM = 971946381604
Thus, we can understand that the LCM of 589,242,674,604,268 is 971946381604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 242, 674, 604, 268?
Answer: LCM of 589, 242, 674, 604, 268 is 971946381604.
2. How to calculate the LCM of 589, 242, 674, 604, 268?
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 589, 242, 674, 604, 268.
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}.