LCM of 984, 283, 472, 407, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 283, 472, 407, 777 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 984, 283, 472, 407, 777. So, keep reading to learn more.
Given numbers are 984,283,472,407,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,283,472,407,777 is 46808636952.
Find LCM of 984,283,472,407,777 with Prime Factorization
| 2 | 984, 283, 472, 407, 777 |
| 2 | 492, 283, 236, 407, 777 |
| 2 | 246, 283, 118, 407, 777 |
| 3 | 123, 283, 59, 407, 777 |
| 37 | 41, 283, 59, 407, 259 |
| 41, 283, 59, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 41 x 283 x 59 x 11 x 7 = 46808636952
Therefore, the lowest common multiple of 984,283,472,407,777 is 46808636952.
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.
984 x 283 x 472 x 407 x 777 = 41566069613376
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
283 : 1, 283
472 : 1, 2, 4, 8, 59, 118, 236, 472
407 : 1, 11, 37, 407
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,283,472,407,777, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
283:283
472:2x 2x 2x 59
407:11x 37
777:3x 7x 37
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 37 = 888
Therefore, the value for common factors is 888.
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 = 41566069613376/(1x888)
LCM = 41566069613376/888
LCM = 46808636952
Thus, we can understand that the LCM of 984,283,472,407,777 is 46808636952.
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FAQs on LCM of 984, 283, 472, 407, 777
1. What is the LCM of 984, 283, 472, 407, 777?
Answer: LCM of 984, 283, 472, 407, 777 is 46808636952.
2. How to calculate the LCM of 984, 283, 472, 407, 777?
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 984, 283, 472, 407, 777.
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}.