Find the LCM of 203, 387, 261, 697 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, 387, 261, 697. So, keep reading to learn more.
Given numbers are 203,387,261,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,387,261,697 is 54757017.
Find LCM of 203,387,261,697 with Prime Factorization
3 | 203, 387, 261, 697 |
3 | 203, 129, 87, 697 |
29 | 203, 43, 29, 697 |
7, 43, 1, 697 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 7 x 43 x 1 x 697 = 54757017
Therefore, the lowest common multiple of 203,387,261,697 is 54757017.
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 387 x 261 x 697 = 14291581437
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
387 : 1, 3, 9, 43, 129, 387
261 : 1, 3, 9, 29, 87, 261
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,387,261,697, is 1.
Now, the common factors can be found like this.
203:7x 29
387:3x 3x 43
261:3x 3x 29
697:17x 41
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 29 = 261
Therefore, the value for common factors is 261.
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 = 14291581437/(1x261)
LCM = 14291581437/261
LCM = 54757017
Thus, we can understand that the LCM of 203,387,261,697 is 54757017.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 203, 387, 261, 697?
Answer: LCM of 203, 387, 261, 697 is 54757017.
2. How to calculate the LCM of 203, 387, 261, 697?
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, 387, 261, 697.
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}.