LCM of 169, 360, 652, 659, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 360, 652, 659, 789 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 169, 360, 652, 659, 789. So, keep reading to learn more.
Given numbers are 169,360,652,659,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,360,652,659,789 is 1718770823640.
Find LCM of 169,360,652,659,789 with Prime Factorization
| 2 | 169, 360, 652, 659, 789 |
| 2 | 169, 180, 326, 659, 789 |
| 3 | 169, 90, 163, 659, 789 |
| 169, 30, 163, 659, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 169 x 30 x 163 x 659 x 263 = 1718770823640
Therefore, the lowest common multiple of 169,360,652,659,789 is 1718770823640.
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.
169 x 360 x 652 x 659 x 789 = 20625249883680
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.
169 : 1, 13, 169
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
652 : 1, 2, 4, 163, 326, 652
659 : 1, 659
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,360,652,659,789, is 1.
Now, the common factors can be found like this.
169:13x 13
360:2x 2x 2x 3x 3x 5
652:2x 2x 163
659:659
789:3x 263
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 3 = 12
Therefore, the value for common factors is 12.
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 = 20625249883680/(1x12)
LCM = 20625249883680/12
LCM = 1718770823640
Thus, we can understand that the LCM of 169,360,652,659,789 is 1718770823640.
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FAQs on LCM of 169, 360, 652, 659, 789
1. What is the LCM of 169, 360, 652, 659, 789?
Answer: LCM of 169, 360, 652, 659, 789 is 1718770823640.
2. How to calculate the LCM of 169, 360, 652, 659, 789?
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 169, 360, 652, 659, 789.
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}.