LCM of 467, 978, 629, 890, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 978, 629, 890, 192 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 467, 978, 629, 890, 192. So, keep reading to learn more.
Given numbers are 467,978,629,890,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,978,629,890,192 is 4090876512960.
Find LCM of 467,978,629,890,192 with Prime Factorization
| 2 | 467, 978, 629, 890, 192 |
| 3 | 467, 489, 629, 445, 96 |
| 467, 163, 629, 445, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 467 x 163 x 629 x 445 x 32 = 4090876512960
Therefore, the lowest common multiple of 467,978,629,890,192 is 4090876512960.
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.
467 x 978 x 629 x 890 x 192 = 49090518155520
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.
467 : 1, 467
978 : 1, 2, 3, 6, 163, 326, 489, 978
629 : 1, 17, 37, 629
890 : 1, 2, 5, 10, 89, 178, 445, 890
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,978,629,890,192, is 1.
Now, the common factors can be found like this.
467:467
978:2x 3x 163
629:17x 37
890:2x 5x 89
192:2x 2x 2x 2x 2x 2x 3
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 3 = 12
Therefore, the value for common factors is 12.
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 = 49090518155520/(1x12)
LCM = 49090518155520/12
LCM = 4090876512960
Thus, we can understand that the LCM of 467,978,629,890,192 is 4090876512960.
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FAQs on LCM of 467, 978, 629, 890, 192
1. What is the LCM of 467, 978, 629, 890, 192?
Answer: LCM of 467, 978, 629, 890, 192 is 4090876512960.
2. How to calculate the LCM of 467, 978, 629, 890, 192?
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 467, 978, 629, 890, 192.
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}.