LCM of 788, 198, 420, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 198, 420, 217 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 788, 198, 420, 217. So, keep reading to learn more.
Given numbers are 788,198,420,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,198,420,217 is 84643020.
Find LCM of 788,198,420,217 with Prime Factorization
| 2 | 788, 198, 420, 217 |
| 2 | 394, 99, 210, 217 |
| 3 | 197, 99, 105, 217 |
| 7 | 197, 33, 35, 217 |
| 197, 33, 5, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 197 x 33 x 5 x 31 = 84643020
Therefore, the lowest common multiple of 788,198,420,217 is 84643020.
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.
788 x 198 x 420 x 217 = 14220027360
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.
788 : 1, 2, 4, 197, 394, 788
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,198,420,217, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
198:2x 3x 3x 11
420:2x 2x 3x 5x 7
217:7x 31
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 7 = 168
Therefore, the value for common factors is 168.
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 = 14220027360/(1x168)
LCM = 14220027360/168
LCM = 84643020
Thus, we can understand that the LCM of 788,198,420,217 is 84643020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 788, 198, 420, 217
1. What is the LCM of 788, 198, 420, 217?
Answer: LCM of 788, 198, 420, 217 is 84643020.
2. How to calculate the LCM of 788, 198, 420, 217?
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 788, 198, 420, 217.
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}.