Find the LCM of 786, 938, 674, 212 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 786, 938, 674, 212. So, keep reading to learn more.
Given numbers are 786,938,674,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,938,674,212 is 13168343748.
Find LCM of 786,938,674,212 with Prime Factorization
2 | 786, 938, 674, 212 |
393, 469, 337, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 393 x 469 x 337 x 106 = 13168343748
Therefore, the lowest common multiple of 786,938,674,212 is 13168343748.
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.
786 x 938 x 674 x 212 = 105346749984
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
938 : 1, 2, 7, 14, 67, 134, 469, 938
674 : 1, 2, 337, 674
212 : 1, 2, 4, 53, 106, 212
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,938,674,212, is 2.
Now, the common factors can be found like this.
786:2x 3x 131
938:2x 7x 67
674:2x 337
212:2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 105346749984/(2x4)
LCM = 105346749984/8
LCM = 13168343748
Thus, we can understand that the LCM of 786,938,674,212 is 13168343748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 786, 938, 674, 212?
Answer: LCM of 786, 938, 674, 212 is 13168343748.
2. How to calculate the LCM of 786, 938, 674, 212?
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 786, 938, 674, 212.
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}.