LCM of 622, 852, 458, 978, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 852, 458, 978, 600 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 622, 852, 458, 978, 600. So, keep reading to learn more.
Given numbers are 622,852,458,978,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,852,458,978,600 is 494530492200.
Find LCM of 622,852,458,978,600 with Prime Factorization
| 2 | 622, 852, 458, 978, 600 |
| 2 | 311, 426, 229, 489, 300 |
| 3 | 311, 213, 229, 489, 150 |
| 311, 71, 229, 163, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 311 x 71 x 229 x 163 x 50 = 494530492200
Therefore, the lowest common multiple of 622,852,458,978,600 is 494530492200.
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.
622 x 852 x 458 x 978 x 600 = 142424781753600
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.
622 : 1, 2, 311, 622
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
458 : 1, 2, 229, 458
978 : 1, 2, 3, 6, 163, 326, 489, 978
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,852,458,978,600, is 2.
Now, the common factors can be found like this.
622:2x 311
852:2x 2x 3x 71
458:2x 229
978:2x 3x 163
600:2x 2x 2x 3x 5x 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 3 = 144
Therefore, the value for common factors is 144.
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 = 142424781753600/(2x144)
LCM = 142424781753600/288
LCM = 494530492200
Thus, we can understand that the LCM of 622,852,458,978,600 is 494530492200.
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FAQs on LCM of 622, 852, 458, 978, 600
1. What is the LCM of 622, 852, 458, 978, 600?
Answer: LCM of 622, 852, 458, 978, 600 is 494530492200.
2. How to calculate the LCM of 622, 852, 458, 978, 600?
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 622, 852, 458, 978, 600.
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}.