LCM of 938, 120, 168, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 120, 168, 789 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 938, 120, 168, 789. So, keep reading to learn more.
Given numbers are 938,120,168,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,120,168,789 is 14801640.
Find LCM of 938,120,168,789 with Prime Factorization
| 2 | 938, 120, 168, 789 |
| 2 | 469, 60, 84, 789 |
| 2 | 469, 30, 42, 789 |
| 3 | 469, 15, 21, 789 |
| 7 | 469, 5, 7, 263 |
| 67, 5, 1, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 67 x 5 x 1 x 263 = 14801640
Therefore, the lowest common multiple of 938,120,168,789 is 14801640.
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.
938 x 120 x 168 x 789 = 14920053120
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,120,168,789, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
120:2x 2x 2x 3x 5
168:2x 2x 2x 3x 7
789:3x 263
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 14920053120/(1x1008)
LCM = 14920053120/1008
LCM = 14801640
Thus, we can understand that the LCM of 938,120,168,789 is 14801640.
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FAQs on LCM of 938, 120, 168, 789
1. What is the LCM of 938, 120, 168, 789?
Answer: LCM of 938, 120, 168, 789 is 14801640.
2. How to calculate the LCM of 938, 120, 168, 789?
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 938, 120, 168, 789.
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}.