Find the LCM of 87, 29, 79, 869 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 87, 29, 79, 869. So, keep reading to learn more.
Given numbers are 87,29,79,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 87,29,79,869 is 75603.
Find LCM of 87,29,79,869 with Prime Factorization
29 | 87, 29, 79, 869 |
79 | 3, 1, 79, 869 |
3, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
29 x 79 x 3 x 1 x 1 x 11 = 75603
Therefore, the lowest common multiple of 87,29,79,869 is 75603.
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.
87 x 29 x 79 x 869 = 173206473
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.
87 : 1, 3, 29, 87
29 : 1, 29
79 : 1, 79
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 87,29,79,869, is 1.
Now, the common factors can be found like this.
87:3x 29
29:29
79:79
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 79 = 2291
Therefore, the value for common factors is 2291.
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 = 173206473/(1x2291)
LCM = 173206473/2291
LCM = 75603
Thus, we can understand that the LCM of 87,29,79,869 is 75603.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 87, 29, 79, 869?
Answer: LCM of 87, 29, 79, 869 is 75603.
2. How to calculate the LCM of 87, 29, 79, 869?
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 87, 29, 79, 869.
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}.