LCM of 608, 788, 375, 255, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 608, 788, 375, 255, 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 608, 788, 375, 255, 622. So, keep reading to learn more.
Given numbers are 608,788,375,255,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,788,375,255,622 is 237470892000.
Find LCM of 608,788,375,255,622 with Prime Factorization
| 2 | 608, 788, 375, 255, 622 |
| 2 | 304, 394, 375, 255, 311 |
| 3 | 152, 197, 375, 255, 311 |
| 5 | 152, 197, 125, 85, 311 |
| 152, 197, 25, 17, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 152 x 197 x 25 x 17 x 311 = 237470892000
Therefore, the lowest common multiple of 608,788,375,255,622 is 237470892000.
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.
608 x 788 x 375 x 255 x 622 = 28496507040000
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
788 : 1, 2, 4, 197, 394, 788
375 : 1, 3, 5, 15, 25, 75, 125, 375
255 : 1, 3, 5, 15, 17, 51, 85, 255
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,788,375,255,622, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
788:2x 2x 197
375:3x 5x 5x 5
255:3x 5x 17
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 28496507040000/(1x120)
LCM = 28496507040000/120
LCM = 237470892000
Thus, we can understand that the LCM of 608,788,375,255,622 is 237470892000.
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FAQs on LCM of 608, 788, 375, 255, 622
1. What is the LCM of 608, 788, 375, 255, 622?
Answer: LCM of 608, 788, 375, 255, 622 is 237470892000.
2. How to calculate the LCM of 608, 788, 375, 255, 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 608, 788, 375, 255, 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}.