Find the LCM of 829, 159, 762, 693 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 829, 159, 762, 693. So, keep reading to learn more.
Given numbers are 829,159,762,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,159,762,693 is 7733878614.
Find LCM of 829,159,762,693 with Prime Factorization
3 | 829, 159, 762, 693 |
829, 53, 254, 231 |
Multiply the prime numbers at the bottom and the left side.
3 x 829 x 53 x 254 x 231 = 7733878614
Therefore, the lowest common multiple of 829,159,762,693 is 7733878614.
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.
829 x 159 x 762 x 693 = 69604907526
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.
829 : 1, 829
159 : 1, 3, 53, 159
762 : 1, 2, 3, 6, 127, 254, 381, 762
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,159,762,693, is 1.
Now, the common factors can be found like this.
829:829
159:3x 53
762:2x 3x 127
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 69604907526/(1x9)
LCM = 69604907526/9
LCM = 7733878614
Thus, we can understand that the LCM of 829,159,762,693 is 7733878614.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 159, 762, 693?
Answer: LCM of 829, 159, 762, 693 is 7733878614.
2. How to calculate the LCM of 829, 159, 762, 693?
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 829, 159, 762, 693.
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}.