Find the LCM of 781, 895, 716, 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 781, 895, 716, 829. So, keep reading to learn more.
Given numbers are 781,895,716,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,895,716,829 is 2317867420.
Find LCM of 781,895,716,829 with Prime Factorization
179 | 781, 895, 716, 829 |
781, 5, 4, 829 |
Multiply the prime numbers at the bottom and the left side.
179 x 781 x 5 x 4 x 829 = 2317867420
Therefore, the lowest common multiple of 781,895,716,829 is 2317867420.
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.
781 x 895 x 716 x 829 = 414898268180
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.
781 : 1, 11, 71, 781
895 : 1, 5, 179, 895
716 : 1, 2, 4, 179, 358, 716
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,895,716,829, is 1.
Now, the common factors can be found like this.
781:11x 71
895:5x 179
716:2x 2x 179
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.
179 = 179
Therefore, the value for common factors is 179.
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 = 414898268180/(1x179)
LCM = 414898268180/179
LCM = 2317867420
Thus, we can understand that the LCM of 781,895,716,829 is 2317867420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 895, 716, 829?
Answer: LCM of 781, 895, 716, 829 is 2317867420.
2. How to calculate the LCM of 781, 895, 716, 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 781, 895, 716, 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}.