Find the LCM of 338, 723, 549, 202, 849 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 338, 723, 549, 202, 849. So, keep reading to learn more.
Given numbers are 338,723,549,202,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,723,549,202,849 is 1278244393686.
Find LCM of 338,723,549,202,849 with Prime Factorization
2 | 338, 723, 549, 202, 849 |
3 | 169, 723, 549, 101, 849 |
169, 241, 183, 101, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 169 x 241 x 183 x 101 x 283 = 1278244393686
Therefore, the lowest common multiple of 338,723,549,202,849 is 1278244393686.
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.
338 x 723 x 549 x 202 x 849 = 23008399086348
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.
338 : 1, 2, 13, 26, 169, 338
723 : 1, 3, 241, 723
549 : 1, 3, 9, 61, 183, 549
202 : 1, 2, 101, 202
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,723,549,202,849, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
723:3x 241
549:3x 3x 61
202:2x 101
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 23008399086348/(1x18)
LCM = 23008399086348/18
LCM = 1278244393686
Thus, we can understand that the LCM of 338,723,549,202,849 is 1278244393686.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 723, 549, 202, 849?
Answer: LCM of 338, 723, 549, 202, 849 is 1278244393686.
2. How to calculate the LCM of 338, 723, 549, 202, 849?
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 338, 723, 549, 202, 849.
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}.