Find the LCM of 789, 308, 767, 458, 156 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 789, 308, 767, 458, 156. So, keep reading to learn more.
Given numbers are 789,308,767,458,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,308,767,458,156 is 42683356716.
Find LCM of 789,308,767,458,156 with Prime Factorization
2 | 789, 308, 767, 458, 156 |
2 | 789, 154, 767, 229, 78 |
3 | 789, 77, 767, 229, 39 |
13 | 263, 77, 767, 229, 13 |
263, 77, 59, 229, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 263 x 77 x 59 x 229 x 1 = 42683356716
Therefore, the lowest common multiple of 789,308,767,458,156 is 42683356716.
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.
789 x 308 x 767 x 458 x 156 = 13317207295392
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.
789 : 1, 3, 263, 789
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
767 : 1, 13, 59, 767
458 : 1, 2, 229, 458
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,308,767,458,156, is 1.
Now, the common factors can be found like this.
789:3x 263
308:2x 2x 7x 11
767:13x 59
458:2x 229
156:2x 2x 3x 13
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 13317207295392/(1x312)
LCM = 13317207295392/312
LCM = 42683356716
Thus, we can understand that the LCM of 789,308,767,458,156 is 42683356716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 789, 308, 767, 458, 156?
Answer: LCM of 789, 308, 767, 458, 156 is 42683356716.
2. How to calculate the LCM of 789, 308, 767, 458, 156?
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 789, 308, 767, 458, 156.
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}.