Find the LCM of 203, 294, 413, 261, 548 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 203, 294, 413, 261, 548. So, keep reading to learn more.
Given numbers are 203,294,413,261,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,294,413,261,548 is 413493948.
Find LCM of 203,294,413,261,548 with Prime Factorization
2 | 203, 294, 413, 261, 548 |
3 | 203, 147, 413, 261, 274 |
7 | 203, 49, 413, 87, 274 |
29 | 29, 7, 59, 87, 274 |
1, 7, 59, 3, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 1 x 7 x 59 x 3 x 274 = 413493948
Therefore, the lowest common multiple of 203,294,413,261,548 is 413493948.
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.
203 x 294 x 413 x 261 x 548 = 3525449400648
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.
203 : 1, 7, 29, 203
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
413 : 1, 7, 59, 413
261 : 1, 3, 9, 29, 87, 261
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,294,413,261,548, is 1.
Now, the common factors can be found like this.
203:7x 29
294:2x 3x 7x 7
413:7x 59
261:3x 3x 29
548:2x 2x 137
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 7x 7x 29 = 8526
Therefore, the value for common factors is 8526.
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 = 3525449400648/(1x8526)
LCM = 3525449400648/8526
LCM = 413493948
Thus, we can understand that the LCM of 203,294,413,261,548 is 413493948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 203, 294, 413, 261, 548?
Answer: LCM of 203, 294, 413, 261, 548 is 413493948.
2. How to calculate the LCM of 203, 294, 413, 261, 548?
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 203, 294, 413, 261, 548.
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}.