LCM of 368, 277, 831, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 277, 831, 226 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 368, 277, 831, 226. So, keep reading to learn more.
Given numbers are 368,277,831,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,277,831,226 is 34556304.
Find LCM of 368,277,831,226 with Prime Factorization
| 2 | 368, 277, 831, 226 |
| 277 | 184, 277, 831, 113 |
| 184, 1, 3, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 277 x 184 x 1 x 3 x 113 = 34556304
Therefore, the lowest common multiple of 368,277,831,226 is 34556304.
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.
368 x 277 x 831 x 226 = 19144192416
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
277 : 1, 277
831 : 1, 3, 277, 831
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,277,831,226, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
277:277
831:3x 277
226:2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 277 = 554
Therefore, the value for common factors is 554.
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 = 19144192416/(1x554)
LCM = 19144192416/554
LCM = 34556304
Thus, we can understand that the LCM of 368,277,831,226 is 34556304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 368, 277, 831, 226
1. What is the LCM of 368, 277, 831, 226?
Answer: LCM of 368, 277, 831, 226 is 34556304.
2. How to calculate the LCM of 368, 277, 831, 226?
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 368, 277, 831, 226.
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}.