Find the LCM of 249, 789, 411, 721, 469 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 249, 789, 411, 721, 469. So, keep reading to learn more.
Given numbers are 249,789,411,721,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,789,411,721,469 is 433396829733.
Find LCM of 249,789,411,721,469 with Prime Factorization
3 | 249, 789, 411, 721, 469 |
7 | 83, 263, 137, 721, 469 |
83, 263, 137, 103, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 83 x 263 x 137 x 103 x 67 = 433396829733
Therefore, the lowest common multiple of 249,789,411,721,469 is 433396829733.
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.
249 x 789 x 411 x 721 x 469 = 27304000273179
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.
249 : 1, 3, 83, 249
789 : 1, 3, 263, 789
411 : 1, 3, 137, 411
721 : 1, 7, 103, 721
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,789,411,721,469, is 1.
Now, the common factors can be found like this.
249:3x 83
789:3x 263
411:3x 137
721:7x 103
469:7x 67
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 7 = 63
Therefore, the value for common factors is 63.
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 = 27304000273179/(1x63)
LCM = 27304000273179/63
LCM = 433396829733
Thus, we can understand that the LCM of 249,789,411,721,469 is 433396829733.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 789, 411, 721, 469?
Answer: LCM of 249, 789, 411, 721, 469 is 433396829733.
2. How to calculate the LCM of 249, 789, 411, 721, 469?
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 249, 789, 411, 721, 469.
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}.