LCM of 181, 949, 836, 352, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 949, 836, 352, 855 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 181, 949, 836, 352, 855. So, keep reading to learn more.
Given numbers are 181,949,836,352,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,949,836,352,855 is 51695598240.
Find LCM of 181,949,836,352,855 with Prime Factorization
| 2 | 181, 949, 836, 352, 855 |
| 2 | 181, 949, 418, 176, 855 |
| 11 | 181, 949, 209, 88, 855 |
| 19 | 181, 949, 19, 8, 855 |
| 181, 949, 1, 8, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 181 x 949 x 1 x 8 x 45 = 51695598240
Therefore, the lowest common multiple of 181,949,836,352,855 is 51695598240.
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.
181 x 949 x 836 x 352 x 855 = 43217520128640
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.
181 : 1, 181
949 : 1, 13, 73, 949
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,949,836,352,855, is 1.
Now, the common factors can be found like this.
181:181
949:13x 73
836:2x 2x 11x 19
352:2x 2x 2x 2x 2x 11
855:3x 3x 5x 19
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 43217520128640/(1x836)
LCM = 43217520128640/836
LCM = 51695598240
Thus, we can understand that the LCM of 181,949,836,352,855 is 51695598240.
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FAQs on LCM of 181, 949, 836, 352, 855
1. What is the LCM of 181, 949, 836, 352, 855?
Answer: LCM of 181, 949, 836, 352, 855 is 51695598240.
2. How to calculate the LCM of 181, 949, 836, 352, 855?
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 181, 949, 836, 352, 855.
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}.