LCM of 180, 198, 339, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 198, 339, 759 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, 198, 339, 759. So, keep reading to learn more.
Given numbers are 180,198,339,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,198,339,759 is 5146020.
Find LCM of 180,198,339,759 with Prime Factorization
| 2 | 180, 198, 339, 759 |
| 3 | 90, 99, 339, 759 |
| 3 | 30, 33, 113, 253 |
| 11 | 10, 11, 113, 253 |
| 10, 1, 113, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 10 x 1 x 113 x 23 = 5146020
Therefore, the lowest common multiple of 180,198,339,759 is 5146020.
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 198 x 339 x 759 = 9170207640
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
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
339 : 1, 3, 113, 339
759 : 1, 3, 11, 23, 33, 69, 253, 759
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,198,339,759, is 3.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
198:2x 3x 3x 11
339:3x 113
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 9170207640/(3x594)
LCM = 9170207640/1782
LCM = 5146020
Thus, we can understand that the LCM of 180,198,339,759 is 5146020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 198, 339, 759
1. What is the LCM of 180, 198, 339, 759?
Answer: LCM of 180, 198, 339, 759 is 5146020.
2. How to calculate the LCM of 180, 198, 339, 759?
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, 198, 339, 759.
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}.