LCM of 932, 180, 705, 830, 181
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 180, 705, 830, 181 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 932, 180, 705, 830, 181. So, keep reading to learn more.
Given numbers are 932,180,705,830,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,180,705,830,181 is 29613037140.
Find LCM of 932,180,705,830,181 with Prime Factorization
| 2 | 932, 180, 705, 830, 181 |
| 2 | 466, 90, 705, 415, 181 |
| 3 | 233, 45, 705, 415, 181 |
| 5 | 233, 15, 235, 415, 181 |
| 233, 3, 47, 83, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 233 x 3 x 47 x 83 x 181 = 29613037140
Therefore, the lowest common multiple of 932,180,705,830,181 is 29613037140.
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.
932 x 180 x 705 x 830 x 181 = 17767822284000
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.
932 : 1, 2, 4, 233, 466, 932
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
705 : 1, 3, 5, 15, 47, 141, 235, 705
830 : 1, 2, 5, 10, 83, 166, 415, 830
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,180,705,830,181, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
180:2x 2x 3x 3x 5
705:3x 5x 47
830:2x 5x 83
181:181
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 17767822284000/(1x600)
LCM = 17767822284000/600
LCM = 29613037140
Thus, we can understand that the LCM of 932,180,705,830,181 is 29613037140.
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FAQs on LCM of 932, 180, 705, 830, 181
1. What is the LCM of 932, 180, 705, 830, 181?
Answer: LCM of 932, 180, 705, 830, 181 is 29613037140.
2. How to calculate the LCM of 932, 180, 705, 830, 181?
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 932, 180, 705, 830, 181.
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}.