LCM of 180, 591, 748, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 591, 748, 366 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, 591, 748, 366. So, keep reading to learn more.
Given numbers are 180,591,748,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,591,748,366 is 404492220.
Find LCM of 180,591,748,366 with Prime Factorization
| 2 | 180, 591, 748, 366 |
| 2 | 90, 591, 374, 183 |
| 3 | 45, 591, 187, 183 |
| 15, 197, 187, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 15 x 197 x 187 x 61 = 404492220
Therefore, the lowest common multiple of 180,591,748,366 is 404492220.
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 591 x 748 x 366 = 29123439840
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
591 : 1, 3, 197, 591
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,591,748,366, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
591:3x 197
748:2x 2x 11x 17
366:2x 3x 61
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 3 = 72
Therefore, the value for common factors is 72.
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 = 29123439840/(1x72)
LCM = 29123439840/72
LCM = 404492220
Thus, we can understand that the LCM of 180,591,748,366 is 404492220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 591, 748, 366
1. What is the LCM of 180, 591, 748, 366?
Answer: LCM of 180, 591, 748, 366 is 404492220.
2. How to calculate the LCM of 180, 591, 748, 366?
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, 591, 748, 366.
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}.