Find the LCM of 627, 869, 265, 879, 293 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 627, 869, 265, 879, 293. So, keep reading to learn more.
Given numbers are 627,869,265,879,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,869,265,879,293 is 3845989785.
Find LCM of 627,869,265,879,293 with Prime Factorization
3 | 627, 869, 265, 879, 293 |
11 | 209, 869, 265, 293, 293 |
293 | 19, 79, 265, 293, 293 |
19, 79, 265, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 293 x 19 x 79 x 265 x 1 x 1 = 3845989785
Therefore, the lowest common multiple of 627,869,265,879,293 is 3845989785.
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.
627 x 869 x 265 x 879 x 293 = 37186875231165
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
869 : 1, 11, 79, 869
265 : 1, 5, 53, 265
879 : 1, 3, 293, 879
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,869,265,879,293, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
869:11x 79
265:5x 53
879:3x 293
293:293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 293 = 9669
Therefore, the value for common factors is 9669.
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 = 37186875231165/(1x9669)
LCM = 37186875231165/9669
LCM = 3845989785
Thus, we can understand that the LCM of 627,869,265,879,293 is 3845989785.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 869, 265, 879, 293?
Answer: LCM of 627, 869, 265, 879, 293 is 3845989785.
2. How to calculate the LCM of 627, 869, 265, 879, 293?
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 627, 869, 265, 879, 293.
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}.