LCM of 102, 605, 189, 940, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 605, 189, 940, 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 102, 605, 189, 940, 180. So, keep reading to learn more.
Given numbers are 102,605,189,940,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,605,189,940,180 is 365446620.
Find LCM of 102,605,189,940,180 with Prime Factorization
| 2 | 102, 605, 189, 940, 180 |
| 2 | 51, 605, 189, 470, 90 |
| 3 | 51, 605, 189, 235, 45 |
| 3 | 17, 605, 63, 235, 15 |
| 5 | 17, 605, 21, 235, 5 |
| 17, 121, 21, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 121 x 21 x 47 x 1 = 365446620
Therefore, the lowest common multiple of 102,605,189,940,180 is 365446620.
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.
102 x 605 x 189 x 940 x 180 = 1973411748000
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
605 : 1, 5, 11, 55, 121, 605
189 : 1, 3, 7, 9, 21, 27, 63, 189
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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 102,605,189,940,180, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
605:5x 11x 11
189:3x 3x 3x 7
940:2x 2x 5x 47
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 3x 3x 3x 5x 5 = 5400
Therefore, the value for common factors is 5400.
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 = 1973411748000/(1x5400)
LCM = 1973411748000/5400
LCM = 365446620
Thus, we can understand that the LCM of 102,605,189,940,180 is 365446620.
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FAQs on LCM of 102, 605, 189, 940, 180
1. What is the LCM of 102, 605, 189, 940, 180?
Answer: LCM of 102, 605, 189, 940, 180 is 365446620.
2. How to calculate the LCM of 102, 605, 189, 940, 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 102, 605, 189, 940, 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}.