Find the LCM of 836, 177, 133, 844 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 836, 177, 133, 844. So, keep reading to learn more.
Given numbers are 836,177,133,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,177,133,844 is 218554644.
Find LCM of 836,177,133,844 with Prime Factorization
2 | 836, 177, 133, 844 |
2 | 418, 177, 133, 422 |
19 | 209, 177, 133, 211 |
11, 177, 7, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 11 x 177 x 7 x 211 = 218554644
Therefore, the lowest common multiple of 836,177,133,844 is 218554644.
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.
836 x 177 x 133 x 844 = 16610152944
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
177 : 1, 3, 59, 177
133 : 1, 7, 19, 133
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,177,133,844, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
177:3x 59
133:7x 19
844:2x 2x 211
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 19 = 76
Therefore, the value for common factors is 76.
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 = 16610152944/(1x76)
LCM = 16610152944/76
LCM = 218554644
Thus, we can understand that the LCM of 836,177,133,844 is 218554644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 836, 177, 133, 844?
Answer: LCM of 836, 177, 133, 844 is 218554644.
2. How to calculate the LCM of 836, 177, 133, 844?
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 836, 177, 133, 844.
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}.