Find the LCM of 755, 332, 453, 829 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 755, 332, 453, 829. So, keep reading to learn more.
Given numbers are 755,332,453,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,332,453,829 is 623391420.
Find LCM of 755,332,453,829 with Prime Factorization
151 | 755, 332, 453, 829 |
5, 332, 3, 829 |
Multiply the prime numbers at the bottom and the left side.
151 x 5 x 332 x 3 x 829 = 623391420
Therefore, the lowest common multiple of 755,332,453,829 is 623391420.
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.
755 x 332 x 453 x 829 = 94132104420
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.
755 : 1, 5, 151, 755
332 : 1, 2, 4, 83, 166, 332
453 : 1, 3, 151, 453
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,332,453,829, is 1.
Now, the common factors can be found like this.
755:5x 151
332:2x 2x 83
453:3x 151
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
151 = 151
Therefore, the value for common factors is 151.
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 = 94132104420/(1x151)
LCM = 94132104420/151
LCM = 623391420
Thus, we can understand that the LCM of 755,332,453,829 is 623391420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 755, 332, 453, 829?
Answer: LCM of 755, 332, 453, 829 is 623391420.
2. How to calculate the LCM of 755, 332, 453, 829?
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 755, 332, 453, 829.
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}.