LCM of 315, 541, 220, 940, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 541, 220, 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 315, 541, 220, 940, 180. So, keep reading to learn more.
Given numbers are 315,541,220,940,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,541,220,940,180 is 352418220.
Find LCM of 315,541,220,940,180 with Prime Factorization
| 2 | 315, 541, 220, 940, 180 |
| 2 | 315, 541, 110, 470, 90 |
| 3 | 315, 541, 55, 235, 45 |
| 3 | 105, 541, 55, 235, 15 |
| 5 | 35, 541, 55, 235, 5 |
| 7, 541, 11, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 541 x 11 x 47 x 1 = 352418220
Therefore, the lowest common multiple of 315,541,220,940,180 is 352418220.
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.
315 x 541 x 220 x 940 x 180 = 6343527960000
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
541 : 1, 541
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 315,541,220,940,180, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
541:541
220:2x 2x 5x 11
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 2x 3x 3x 5x 5x 5 = 18000
Therefore, the value for common factors is 18000.
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 = 6343527960000/(1x18000)
LCM = 6343527960000/18000
LCM = 352418220
Thus, we can understand that the LCM of 315,541,220,940,180 is 352418220.
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FAQs on LCM of 315, 541, 220, 940, 180
1. What is the LCM of 315, 541, 220, 940, 180?
Answer: LCM of 315, 541, 220, 940, 180 is 352418220.
2. How to calculate the LCM of 315, 541, 220, 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 315, 541, 220, 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}.