Find the LCM of 212, 786, 228, 660, 879 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 212, 786, 228, 660, 879. So, keep reading to learn more.
Given numbers are 212,786,228,660,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,786,228,660,879 is 25510109460.
Find LCM of 212,786,228,660,879 with Prime Factorization
2 | 212, 786, 228, 660, 879 |
2 | 106, 393, 114, 330, 879 |
3 | 53, 393, 57, 165, 879 |
53, 131, 19, 55, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 131 x 19 x 55 x 293 = 25510109460
Therefore, the lowest common multiple of 212,786,228,660,879 is 25510109460.
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.
212 x 786 x 228 x 660 x 879 = 22040734573440
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.
212 : 1, 2, 4, 53, 106, 212
786 : 1, 2, 3, 6, 131, 262, 393, 786
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,786,228,660,879, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
786:2x 3x 131
228:2x 2x 3x 19
660:2x 2x 3x 5x 11
879:3x 293
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 2x 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 22040734573440/(1x864)
LCM = 22040734573440/864
LCM = 25510109460
Thus, we can understand that the LCM of 212,786,228,660,879 is 25510109460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 212, 786, 228, 660, 879?
Answer: LCM of 212, 786, 228, 660, 879 is 25510109460.
2. How to calculate the LCM of 212, 786, 228, 660, 879?
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 212, 786, 228, 660, 879.
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}.