LCM of 776, 814, 978, 200, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 814, 978, 200, 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 776, 814, 978, 200, 468. So, keep reading to learn more.
Given numbers are 776,814,978,200,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,814,978,200,468 is 150580801800.
Find LCM of 776,814,978,200,468 with Prime Factorization
| 2 | 776, 814, 978, 200, 468 |
| 2 | 388, 407, 489, 100, 234 |
| 2 | 194, 407, 489, 50, 117 |
| 3 | 97, 407, 489, 25, 117 |
| 97, 407, 163, 25, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 97 x 407 x 163 x 25 x 39 = 150580801800
Therefore, the lowest common multiple of 776,814,978,200,468 is 150580801800.
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.
776 x 814 x 978 x 200 x 468 = 57823027891200
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
814 : 1, 2, 11, 22, 37, 74, 407, 814
978 : 1, 2, 3, 6, 163, 326, 489, 978
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,814,978,200,468, is 2.
Now, the common factors can be found like this.
776:2x 2x 2x 97
814:2x 11x 37
978:2x 3x 163
200:2x 2x 2x 5x 5
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 57823027891200/(2x192)
LCM = 57823027891200/384
LCM = 150580801800
Thus, we can understand that the LCM of 776,814,978,200,468 is 150580801800.
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FAQs on LCM of 776, 814, 978, 200, 468
1. What is the LCM of 776, 814, 978, 200, 468?
Answer: LCM of 776, 814, 978, 200, 468 is 150580801800.
2. How to calculate the LCM of 776, 814, 978, 200, 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 776, 814, 978, 200, 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}.