Find the LCM of 783, 783, 667, 841 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 783, 783, 667, 841. So, keep reading to learn more.
Given numbers are 783,783,667,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,783,667,841 is 522261.
Find LCM of 783,783,667,841 with Prime Factorization
3 | 783, 783, 667, 841 |
3 | 261, 261, 667, 841 |
3 | 87, 87, 667, 841 |
29 | 29, 29, 667, 841 |
1, 1, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 29 x 1 x 1 x 23 x 29 = 522261
Therefore, the lowest common multiple of 783,783,667,841 is 522261.
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.
783 x 783 x 667 x 841 = 343910435283
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
783 : 1, 3, 9, 27, 29, 87, 261, 783
667 : 1, 23, 29, 667
841 : 1, 29, 841
29 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,783,667,841, is 29.
Now, the common factors can be found like this.
783:3x 3x 3x 29
783:3x 3x 3x 29
667:23x 29
841:29x 29
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 3x 29x 29 = 22707
Therefore, the value for common factors is 22707.
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 = 343910435283/(29x22707)
LCM = 343910435283/658503
LCM = 522261
Thus, we can understand that the LCM of 783,783,667,841 is 522261.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 783, 783, 667, 841?
Answer: LCM of 783, 783, 667, 841 is 522261.
2. How to calculate the LCM of 783, 783, 667, 841?
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 783, 783, 667, 841.
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}.