LCM of 550, 415, 372, 312, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 550, 415, 372, 312, 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 550, 415, 372, 312, 180. So, keep reading to learn more.
Given numbers are 550,415,372,312,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,415,372,312,180 is 662290200.
Find LCM of 550,415,372,312,180 with Prime Factorization
| 2 | 550, 415, 372, 312, 180 |
| 2 | 275, 415, 186, 156, 90 |
| 3 | 275, 415, 93, 78, 45 |
| 5 | 275, 415, 31, 26, 15 |
| 55, 83, 31, 26, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 55 x 83 x 31 x 26 x 3 = 662290200
Therefore, the lowest common multiple of 550,415,372,312,180 is 662290200.
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.
550 x 415 x 372 x 312 x 180 = 4768489440000
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
415 : 1, 5, 83, 415
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 550,415,372,312,180, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
415:5x 83
372:2x 2x 3x 31
312:2x 2x 2x 3x 13
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 2x 3x 3x 5x 5 = 7200
Therefore, the value for common factors is 7200.
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 = 4768489440000/(1x7200)
LCM = 4768489440000/7200
LCM = 662290200
Thus, we can understand that the LCM of 550,415,372,312,180 is 662290200.
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FAQs on LCM of 550, 415, 372, 312, 180
1. What is the LCM of 550, 415, 372, 312, 180?
Answer: LCM of 550, 415, 372, 312, 180 is 662290200.
2. How to calculate the LCM of 550, 415, 372, 312, 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 550, 415, 372, 312, 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}.