LCM of 181, 528, 946, 181, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 528, 946, 181, 108 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, 528, 946, 181, 108. So, keep reading to learn more.
Given numbers are 181,528,946,181,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,528,946,181,108 is 36984816.
Find LCM of 181,528,946,181,108 with Prime Factorization
| 2 | 181, 528, 946, 181, 108 |
| 2 | 181, 264, 473, 181, 54 |
| 3 | 181, 132, 473, 181, 27 |
| 11 | 181, 44, 473, 181, 9 |
| 181 | 181, 4, 43, 181, 9 |
| 1, 4, 43, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 181 x 1 x 4 x 43 x 1 x 9 = 36984816
Therefore, the lowest common multiple of 181,528,946,181,108 is 36984816.
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 528 x 946 x 181 x 108 = 1767282447744
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
946 : 1, 2, 11, 22, 43, 86, 473, 946
181 : 1, 181
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,528,946,181,108, is 1.
Now, the common factors can be found like this.
181:181
528:2x 2x 2x 2x 3x 11
946:2x 11x 43
181:181
108:2x 2x 3x 3x 3
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 11x 181 = 47784
Therefore, the value for common factors is 47784.
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 = 1767282447744/(1x47784)
LCM = 1767282447744/47784
LCM = 36984816
Thus, we can understand that the LCM of 181,528,946,181,108 is 36984816.
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FAQs on LCM of 181, 528, 946, 181, 108
1. What is the LCM of 181, 528, 946, 181, 108?
Answer: LCM of 181, 528, 946, 181, 108 is 36984816.
2. How to calculate the LCM of 181, 528, 946, 181, 108?
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, 528, 946, 181, 108.
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}.