LCM of 932, 360, 415, 584, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 360, 415, 584, 622 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 932, 360, 415, 584, 622. So, keep reading to learn more.
Given numbers are 932,360,415,584,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,360,415,584,622 is 158059194120.
Find LCM of 932,360,415,584,622 with Prime Factorization
| 2 | 932, 360, 415, 584, 622 |
| 2 | 466, 180, 415, 292, 311 |
| 2 | 233, 90, 415, 146, 311 |
| 5 | 233, 45, 415, 73, 311 |
| 233, 9, 83, 73, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 233 x 9 x 83 x 73 x 311 = 158059194120
Therefore, the lowest common multiple of 932,360,415,584,622 is 158059194120.
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.
932 x 360 x 415 x 584 x 622 = 50578942118400
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.
932 : 1, 2, 4, 233, 466, 932
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
415 : 1, 5, 83, 415
584 : 1, 2, 4, 8, 73, 146, 292, 584
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,360,415,584,622, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
360:2x 2x 2x 3x 3x 5
415:5x 83
584:2x 2x 2x 73
622:2x 311
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 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 50578942118400/(1x320)
LCM = 50578942118400/320
LCM = 158059194120
Thus, we can understand that the LCM of 932,360,415,584,622 is 158059194120.
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FAQs on LCM of 932, 360, 415, 584, 622
1. What is the LCM of 932, 360, 415, 584, 622?
Answer: LCM of 932, 360, 415, 584, 622 is 158059194120.
2. How to calculate the LCM of 932, 360, 415, 584, 622?
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 932, 360, 415, 584, 622.
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}.