LCM of 797, 420, 400, 984, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 420, 400, 984, 738 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 797, 420, 400, 984, 738. So, keep reading to learn more.
Given numbers are 797,420,400,984,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,420,400,984,738 is 823460400.
Find LCM of 797,420,400,984,738 with Prime Factorization
| 2 | 797, 420, 400, 984, 738 |
| 2 | 797, 210, 200, 492, 369 |
| 2 | 797, 105, 100, 246, 369 |
| 3 | 797, 105, 50, 123, 369 |
| 5 | 797, 35, 50, 41, 123 |
| 41 | 797, 7, 10, 41, 123 |
| 797, 7, 10, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 41 x 797 x 7 x 10 x 1 x 3 = 823460400
Therefore, the lowest common multiple of 797,420,400,984,738 is 823460400.
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.
797 x 420 x 400 x 984 x 738 = 97234204032000
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.
797 : 1, 797
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,420,400,984,738, is 1.
Now, the common factors can be found like this.
797:797
420:2x 2x 3x 5x 7
400:2x 2x 2x 2x 5x 5
984:2x 2x 2x 3x 41
738:2x 3x 3x 41
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 3x 3x 5x 41 = 118080
Therefore, the value for common factors is 118080.
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 = 97234204032000/(1x118080)
LCM = 97234204032000/118080
LCM = 823460400
Thus, we can understand that the LCM of 797,420,400,984,738 is 823460400.
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FAQs on LCM of 797, 420, 400, 984, 738
1. What is the LCM of 797, 420, 400, 984, 738?
Answer: LCM of 797, 420, 400, 984, 738 is 823460400.
2. How to calculate the LCM of 797, 420, 400, 984, 738?
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 797, 420, 400, 984, 738.
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}.