LCM of 927, 189, 978, 828, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 189, 978, 828, 468 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 927, 189, 978, 828, 468. So, keep reading to learn more.
Given numbers are 927,189,978,828,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,189,978,828,468 is 3795052716.
Find LCM of 927,189,978,828,468 with Prime Factorization
| 2 | 927, 189, 978, 828, 468 |
| 2 | 927, 189, 489, 414, 234 |
| 3 | 927, 189, 489, 207, 117 |
| 3 | 309, 63, 163, 69, 39 |
| 103, 21, 163, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 103 x 21 x 163 x 23 x 13 = 3795052716
Therefore, the lowest common multiple of 927,189,978,828,468 is 3795052716.
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.
927 x 189 x 978 x 828 x 468 = 66398242319136
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.
927 : 1, 3, 9, 103, 309, 927
189 : 1, 3, 7, 9, 21, 27, 63, 189
978 : 1, 2, 3, 6, 163, 326, 489, 978
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,189,978,828,468, is 3.
Now, the common factors can be found like this.
927:3x 3x 103
189:3x 3x 3x 7
978:2x 3x 163
828:2x 2x 3x 3x 23
468:2x 2x 3x 3x 13
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 3x 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 66398242319136/(3x5832)
LCM = 66398242319136/17496
LCM = 3795052716
Thus, we can understand that the LCM of 927,189,978,828,468 is 3795052716.
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FAQs on LCM of 927, 189, 978, 828, 468
1. What is the LCM of 927, 189, 978, 828, 468?
Answer: LCM of 927, 189, 978, 828, 468 is 3795052716.
2. How to calculate the LCM of 927, 189, 978, 828, 468?
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 927, 189, 978, 828, 468.
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}.