Find the LCM of 678, 869, 869, 316 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 678, 869, 869, 316. So, keep reading to learn more.
Given numbers are 678,869,869,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,869,869,316 is 1178364.
Find LCM of 678,869,869,316 with Prime Factorization
2 | 678, 869, 869, 316 |
11 | 339, 869, 869, 158 |
79 | 339, 79, 79, 158 |
339, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 79 x 339 x 1 x 1 x 2 = 1178364
Therefore, the lowest common multiple of 678,869,869,316 is 1178364.
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.
678 x 869 x 869 x 316 = 161791733928
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
869 : 1, 11, 79, 869
869 : 1, 11, 79, 869
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,869,869,316, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
869:11x 79
869:11x 79
316:2x 2x 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 11x 79x 79 = 137302
Therefore, the value for common factors is 137302.
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 = 161791733928/(1x137302)
LCM = 161791733928/137302
LCM = 1178364
Thus, we can understand that the LCM of 678,869,869,316 is 1178364.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 869, 869, 316?
Answer: LCM of 678, 869, 869, 316 is 1178364.
2. How to calculate the LCM of 678, 869, 869, 316?
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 678, 869, 869, 316.
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}.