LCM of 816, 133, 784, 712, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 133, 784, 712, 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 816, 133, 784, 712, 978. So, keep reading to learn more.
Given numbers are 816,133,784,712,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,133,784,712,978 is 11020909872.
Find LCM of 816,133,784,712,978 with Prime Factorization
| 2 | 816, 133, 784, 712, 978 |
| 2 | 408, 133, 392, 356, 489 |
| 2 | 204, 133, 196, 178, 489 |
| 2 | 102, 133, 98, 89, 489 |
| 3 | 51, 133, 49, 89, 489 |
| 7 | 17, 133, 49, 89, 163 |
| 17, 19, 7, 89, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 17 x 19 x 7 x 89 x 163 = 11020909872
Therefore, the lowest common multiple of 816,133,784,712,978 is 11020909872.
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.
816 x 133 x 784 x 712 x 978 = 59248411471872
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
133 : 1, 7, 19, 133
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
712 : 1, 2, 4, 8, 89, 178, 356, 712
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 816,133,784,712,978, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
133:7x 19
784:2x 2x 2x 2x 7x 7
712:2x 2x 2x 89
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 2x 2x 2x 2x 3x 7 = 5376
Therefore, the value for common factors is 5376.
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 = 59248411471872/(1x5376)
LCM = 59248411471872/5376
LCM = 11020909872
Thus, we can understand that the LCM of 816,133,784,712,978 is 11020909872.
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FAQs on LCM of 816, 133, 784, 712, 978
1. What is the LCM of 816, 133, 784, 712, 978?
Answer: LCM of 816, 133, 784, 712, 978 is 11020909872.
2. How to calculate the LCM of 816, 133, 784, 712, 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 816, 133, 784, 712, 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}.