Find the LCM of 865, 982, 835, 716 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 865, 982, 835, 716. So, keep reading to learn more.
Given numbers are 865,982,835,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,982,835,716 is 50784021980.
Find LCM of 865,982,835,716 with Prime Factorization
2 | 865, 982, 835, 716 |
5 | 865, 491, 835, 358 |
173, 491, 167, 358 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 173 x 491 x 167 x 358 = 50784021980
Therefore, the lowest common multiple of 865,982,835,716 is 50784021980.
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.
865 x 982 x 835 x 716 = 507840219800
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.
865 : 1, 5, 173, 865
982 : 1, 2, 491, 982
835 : 1, 5, 167, 835
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,982,835,716, is 1.
Now, the common factors can be found like this.
865:5x 173
982:2x 491
835:5x 167
716:2x 2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 507840219800/(1x10)
LCM = 507840219800/10
LCM = 50784021980
Thus, we can understand that the LCM of 865,982,835,716 is 50784021980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 865, 982, 835, 716?
Answer: LCM of 865, 982, 835, 716 is 50784021980.
2. How to calculate the LCM of 865, 982, 835, 716?
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 865, 982, 835, 716.
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}.