LCM of 816, 356, 192, 944, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 356, 192, 944, 420 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, 356, 192, 944, 420. So, keep reading to learn more.
Given numbers are 816,356,192,944,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,356,192,944,420 is 599874240.
Find LCM of 816,356,192,944,420 with Prime Factorization
| 2 | 816, 356, 192, 944, 420 |
| 2 | 408, 178, 96, 472, 210 |
| 2 | 204, 89, 48, 236, 105 |
| 2 | 102, 89, 24, 118, 105 |
| 3 | 51, 89, 12, 59, 105 |
| 17, 89, 4, 59, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 89 x 4 x 59 x 35 = 599874240
Therefore, the lowest common multiple of 816,356,192,944,420 is 599874240.
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 356 x 192 x 944 x 420 = 22113763983360
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
356 : 1, 2, 4, 89, 178, 356
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,356,192,944,420, is 4.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
356:2x 2x 89
192:2x 2x 2x 2x 2x 2x 3
944:2x 2x 2x 2x 59
420:2x 2x 3x 5x 7
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 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 22113763983360/(4x9216)
LCM = 22113763983360/36864
LCM = 599874240
Thus, we can understand that the LCM of 816,356,192,944,420 is 599874240.
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FAQs on LCM of 816, 356, 192, 944, 420
1. What is the LCM of 816, 356, 192, 944, 420?
Answer: LCM of 816, 356, 192, 944, 420 is 599874240.
2. How to calculate the LCM of 816, 356, 192, 944, 420?
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, 356, 192, 944, 420.
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}.