LCM of 874, 836, 447, 263, 139
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 836, 447, 263, 139 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 874, 836, 447, 263, 139. So, keep reading to learn more.
Given numbers are 874,836,447,263,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,836,447,263,139 is 314204344212.
Find LCM of 874,836,447,263,139 with Prime Factorization
| 2 | 874, 836, 447, 263, 139 |
| 19 | 437, 418, 447, 263, 139 |
| 23, 22, 447, 263, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 22 x 447 x 263 x 139 = 314204344212
Therefore, the lowest common multiple of 874,836,447,263,139 is 314204344212.
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.
874 x 836 x 447 x 263 x 139 = 11939765080056
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
447 : 1, 3, 149, 447
263 : 1, 263
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,836,447,263,139, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
836:2x 2x 11x 19
447:3x 149
263:263
139:139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 11939765080056/(1x38)
LCM = 11939765080056/38
LCM = 314204344212
Thus, we can understand that the LCM of 874,836,447,263,139 is 314204344212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 836, 447, 263, 139
1. What is the LCM of 874, 836, 447, 263, 139?
Answer: LCM of 874, 836, 447, 263, 139 is 314204344212.
2. How to calculate the LCM of 874, 836, 447, 263, 139?
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 874, 836, 447, 263, 139.
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}.