Find the LCM of 869, 436, 366, 853, 790 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 869, 436, 366, 853, 790. So, keep reading to learn more.
Given numbers are 869,436,366,853,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,436,366,853,790 is 295717067580.
Find LCM of 869,436,366,853,790 with Prime Factorization
2 | 869, 436, 366, 853, 790 |
79 | 869, 218, 183, 853, 395 |
11, 218, 183, 853, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 11 x 218 x 183 x 853 x 5 = 295717067580
Therefore, the lowest common multiple of 869,436,366,853,790 is 295717067580.
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.
869 x 436 x 366 x 853 x 790 = 93446593355280
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.
869 : 1, 11, 79, 869
436 : 1, 2, 4, 109, 218, 436
366 : 1, 2, 3, 6, 61, 122, 183, 366
853 : 1, 853
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,436,366,853,790, is 1.
Now, the common factors can be found like this.
869:11x 79
436:2x 2x 109
366:2x 3x 61
853:853
790:2x 5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 79 = 316
Therefore, the value for common factors is 316.
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 = 93446593355280/(1x316)
LCM = 93446593355280/316
LCM = 295717067580
Thus, we can understand that the LCM of 869,436,366,853,790 is 295717067580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 436, 366, 853, 790?
Answer: LCM of 869, 436, 366, 853, 790 is 295717067580.
2. How to calculate the LCM of 869, 436, 366, 853, 790?
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 869, 436, 366, 853, 790.
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}.