Find the LCM of 829, 471, 785, 329 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, 471, 785, 329. So, keep reading to learn more.
Given numbers are 829,471,785,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,471,785,329 is 642305055.
Find LCM of 829,471,785,329 with Prime Factorization
157 | 829, 471, 785, 329 |
829, 3, 5, 329 |
Multiply the prime numbers at the bottom and the left side.
157 x 829 x 3 x 5 x 329 = 642305055
Therefore, the lowest common multiple of 829,471,785,329 is 642305055.
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 471 x 785 x 329 = 100841893635
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
471 : 1, 3, 157, 471
785 : 1, 5, 157, 785
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,471,785,329, is 1.
Now, the common factors can be found like this.
829:829
471:3x 157
785:5x 157
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
157 = 157
Therefore, the value for common factors is 157.
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 = 100841893635/(1x157)
LCM = 100841893635/157
LCM = 642305055
Thus, we can understand that the LCM of 829,471,785,329 is 642305055.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 471, 785, 329?
Answer: LCM of 829, 471, 785, 329 is 642305055.
2. How to calculate the LCM of 829, 471, 785, 329?
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, 471, 785, 329.
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}.