LCM of 978, 791, 192, 228, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 791, 192, 228, 978 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 978, 791, 192, 228, 978. So, keep reading to learn more.
Given numbers are 978,791,192,228,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,791,192,228,978 is 470347584.
Find LCM of 978,791,192,228,978 with Prime Factorization
| 2 | 978, 791, 192, 228, 978 |
| 2 | 489, 791, 96, 114, 489 |
| 3 | 489, 791, 48, 57, 489 |
| 163 | 163, 791, 16, 19, 163 |
| 1, 791, 16, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 1 x 791 x 16 x 19 x 1 = 470347584
Therefore, the lowest common multiple of 978,791,192,228,978 is 470347584.
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.
978 x 791 x 192 x 228 x 978 = 33119995474944
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
791 : 1, 7, 113, 791
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,791,192,228,978, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
791:7x 113
192:2x 2x 2x 2x 2x 2x 3
228:2x 2x 3x 19
978:2x 3x 163
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 3x 3x 163 = 70416
Therefore, the value for common factors is 70416.
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 = 33119995474944/(1x70416)
LCM = 33119995474944/70416
LCM = 470347584
Thus, we can understand that the LCM of 978,791,192,228,978 is 470347584.
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FAQs on LCM of 978, 791, 192, 228, 978
1. What is the LCM of 978, 791, 192, 228, 978?
Answer: LCM of 978, 791, 192, 228, 978 is 470347584.
2. How to calculate the LCM of 978, 791, 192, 228, 978?
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 978, 791, 192, 228, 978.
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}.