LCM of 459, 248, 827, 816, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 248, 827, 816, 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 459, 248, 827, 816, 978. So, keep reading to learn more.
Given numbers are 459,248,827,816,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,248,827,816,978 is 30689334864.
Find LCM of 459,248,827,816,978 with Prime Factorization
| 2 | 459, 248, 827, 816, 978 |
| 2 | 459, 124, 827, 408, 489 |
| 2 | 459, 62, 827, 204, 489 |
| 3 | 459, 31, 827, 102, 489 |
| 17 | 153, 31, 827, 34, 163 |
| 9, 31, 827, 2, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 9 x 31 x 827 x 2 x 163 = 30689334864
Therefore, the lowest common multiple of 459,248,827,816,978 is 30689334864.
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.
459 x 248 x 827 x 816 x 978 = 75127491747072
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
248 : 1, 2, 4, 8, 31, 62, 124, 248
827 : 1, 827
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 459,248,827,816,978, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
248:2x 2x 2x 31
827:827
816:2x 2x 2x 2x 3x 17
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 17 = 2448
Therefore, the value for common factors is 2448.
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 = 75127491747072/(1x2448)
LCM = 75127491747072/2448
LCM = 30689334864
Thus, we can understand that the LCM of 459,248,827,816,978 is 30689334864.
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FAQs on LCM of 459, 248, 827, 816, 978
1. What is the LCM of 459, 248, 827, 816, 978?
Answer: LCM of 459, 248, 827, 816, 978 is 30689334864.
2. How to calculate the LCM of 459, 248, 827, 816, 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 459, 248, 827, 816, 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}.