LCM of 176, 836, 561, 339, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 836, 561, 339, 678 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 176, 836, 561, 339, 678. So, keep reading to learn more.
Given numbers are 176,836,561,339,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,836,561,339,678 is 19271472.
Find LCM of 176,836,561,339,678 with Prime Factorization
| 2 | 176, 836, 561, 339, 678 |
| 2 | 88, 418, 561, 339, 339 |
| 3 | 44, 209, 561, 339, 339 |
| 11 | 44, 209, 187, 113, 113 |
| 113 | 4, 19, 17, 113, 113 |
| 4, 19, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 113 x 4 x 19 x 17 x 1 x 1 = 19271472
Therefore, the lowest common multiple of 176,836,561,339,678 is 19271472.
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.
176 x 836 x 561 x 339 x 678 = 18971916239232
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
561 : 1, 3, 11, 17, 33, 51, 187, 561
339 : 1, 3, 113, 339
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,836,561,339,678, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
836:2x 2x 11x 19
561:3x 11x 17
339:3x 113
678:2x 3x 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 2x 2x 3x 3x 11x 11x 113 = 984456
Therefore, the value for common factors is 984456.
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 = 18971916239232/(1x984456)
LCM = 18971916239232/984456
LCM = 19271472
Thus, we can understand that the LCM of 176,836,561,339,678 is 19271472.
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FAQs on LCM of 176, 836, 561, 339, 678
1. What is the LCM of 176, 836, 561, 339, 678?
Answer: LCM of 176, 836, 561, 339, 678 is 19271472.
2. How to calculate the LCM of 176, 836, 561, 339, 678?
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 176, 836, 561, 339, 678.
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}.