LCM of 486, 940, 498, 615, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 940, 498, 615, 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 486, 940, 498, 615, 180. So, keep reading to learn more.
Given numbers are 486,940,498,615,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,940,498,615,180 is 777313260.
Find LCM of 486,940,498,615,180 with Prime Factorization
| 2 | 486, 940, 498, 615, 180 |
| 2 | 243, 470, 249, 615, 90 |
| 3 | 243, 235, 249, 615, 45 |
| 3 | 81, 235, 83, 205, 15 |
| 5 | 27, 235, 83, 205, 5 |
| 27, 47, 83, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 27 x 47 x 83 x 41 x 1 = 777313260
Therefore, the lowest common multiple of 486,940,498,615,180 is 777313260.
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.
486 x 940 x 498 x 615 x 180 = 25184949624000
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
498 : 1, 2, 3, 6, 83, 166, 249, 498
615 : 1, 3, 5, 15, 41, 123, 205, 615
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 486,940,498,615,180, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
940:2x 2x 5x 47
498:2x 3x 83
615:3x 5x 41
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 2x 3x 3x 3x 3x 5x 5 = 32400
Therefore, the value for common factors is 32400.
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 = 25184949624000/(1x32400)
LCM = 25184949624000/32400
LCM = 777313260
Thus, we can understand that the LCM of 486,940,498,615,180 is 777313260.
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FAQs on LCM of 486, 940, 498, 615, 180
1. What is the LCM of 486, 940, 498, 615, 180?
Answer: LCM of 486, 940, 498, 615, 180 is 777313260.
2. How to calculate the LCM of 486, 940, 498, 615, 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 486, 940, 498, 615, 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}.