LCM of 932, 804, 381, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 804, 381, 180 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, 804, 381, 180. So, keep reading to learn more.
Given numbers are 932,804,381,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,804,381,180 is 356867460.
Find LCM of 932,804,381,180 with Prime Factorization
| 2 | 932, 804, 381, 180 |
| 2 | 466, 402, 381, 90 |
| 3 | 233, 201, 381, 45 |
| 233, 67, 127, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 233 x 67 x 127 x 15 = 356867460
Therefore, the lowest common multiple of 932,804,381,180 is 356867460.
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 804 x 381 x 180 = 51388914240
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
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
381 : 1, 3, 127, 381
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,804,381,180, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
804:2x 2x 3x 67
381:3x 127
180:2x 2x 3x 3x 5
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 51388914240/(1x144)
LCM = 51388914240/144
LCM = 356867460
Thus, we can understand that the LCM of 932,804,381,180 is 356867460.
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FAQs on LCM of 932, 804, 381, 180
1. What is the LCM of 932, 804, 381, 180?
Answer: LCM of 932, 804, 381, 180 is 356867460.
2. How to calculate the LCM of 932, 804, 381, 180?
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, 804, 381, 180.
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}.