LCM of 167, 576, 786, 978, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 576, 786, 978, 459 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 167, 576, 786, 978, 459. So, keep reading to learn more.
Given numbers are 167,576,786,978,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,576,786,978,459 is 104753376576.
Find LCM of 167,576,786,978,459 with Prime Factorization
| 2 | 167, 576, 786, 978, 459 |
| 3 | 167, 288, 393, 489, 459 |
| 3 | 167, 96, 131, 163, 153 |
| 167, 32, 131, 163, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 167 x 32 x 131 x 163 x 51 = 104753376576
Therefore, the lowest common multiple of 167,576,786,978,459 is 104753376576.
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.
167 x 576 x 786 x 978 x 459 = 33940094010624
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.
167 : 1, 167
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
786 : 1, 2, 3, 6, 131, 262, 393, 786
978 : 1, 2, 3, 6, 163, 326, 489, 978
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,576,786,978,459, is 1.
Now, the common factors can be found like this.
167:167
576:2x 2x 2x 2x 2x 2x 3x 3
786:2x 3x 131
978:2x 3x 163
459:3x 3x 3x 17
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 33940094010624/(1x324)
LCM = 33940094010624/324
LCM = 104753376576
Thus, we can understand that the LCM of 167,576,786,978,459 is 104753376576.
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FAQs on LCM of 167, 576, 786, 978, 459
1. What is the LCM of 167, 576, 786, 978, 459?
Answer: LCM of 167, 576, 786, 978, 459 is 104753376576.
2. How to calculate the LCM of 167, 576, 786, 978, 459?
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 167, 576, 786, 978, 459.
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}.