Find the LCM of 827, 188, 922, 434 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 827, 188, 922, 434. So, keep reading to learn more.
Given numbers are 827,188,922,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,188,922,434 is 15553352612.
Find LCM of 827,188,922,434 with Prime Factorization
2 | 827, 188, 922, 434 |
827, 94, 461, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 827 x 94 x 461 x 217 = 15553352612
Therefore, the lowest common multiple of 827,188,922,434 is 15553352612.
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.
827 x 188 x 922 x 434 = 62213410448
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.
827 : 1, 827
188 : 1, 2, 4, 47, 94, 188
922 : 1, 2, 461, 922
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,188,922,434, is 1.
Now, the common factors can be found like this.
827:827
188:2x 2x 47
922:2x 461
434:2x 7x 31
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 = 62213410448/(1x4)
LCM = 62213410448/4
LCM = 15553352612
Thus, we can understand that the LCM of 827,188,922,434 is 15553352612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 188, 922, 434?
Answer: LCM of 827, 188, 922, 434 is 15553352612.
2. How to calculate the LCM of 827, 188, 922, 434?
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 827, 188, 922, 434.
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}.