LCM of 180, 484, 984, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 484, 984, 167 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 180, 484, 984, 167. So, keep reading to learn more.
Given numbers are 180,484,984,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,484,984,167 is 298255320.
Find LCM of 180,484,984,167 with Prime Factorization
| 2 | 180, 484, 984, 167 |
| 2 | 90, 242, 492, 167 |
| 3 | 45, 121, 246, 167 |
| 15, 121, 82, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 15 x 121 x 82 x 167 = 298255320
Therefore, the lowest common multiple of 180,484,984,167 is 298255320.
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.
180 x 484 x 984 x 167 = 14316255360
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,484,984,167, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
484:2x 2x 11x 11
984:2x 2x 2x 3x 41
167:167
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 3 = 48
Therefore, the value for common factors is 48.
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 = 14316255360/(1x48)
LCM = 14316255360/48
LCM = 298255320
Thus, we can understand that the LCM of 180,484,984,167 is 298255320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 484, 984, 167
1. What is the LCM of 180, 484, 984, 167?
Answer: LCM of 180, 484, 984, 167 is 298255320.
2. How to calculate the LCM of 180, 484, 984, 167?
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 180, 484, 984, 167.
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}.