LCM of 789, 960, 945, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 960, 945, 852 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 789, 960, 945, 852. So, keep reading to learn more.
Given numbers are 789,960,945,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,960,945,852 is 1129343040.
Find LCM of 789,960,945,852 with Prime Factorization
| 2 | 789, 960, 945, 852 |
| 2 | 789, 480, 945, 426 |
| 3 | 789, 240, 945, 213 |
| 5 | 263, 80, 315, 71 |
| 263, 16, 63, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 263 x 16 x 63 x 71 = 1129343040
Therefore, the lowest common multiple of 789,960,945,852 is 1129343040.
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.
789 x 960 x 945 x 852 = 609845241600
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.
789 : 1, 3, 263, 789
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,960,945,852, is 3.
Now, the common factors can be found like this.
789:3x 263
960:2x 2x 2x 2x 2x 2x 3x 5
945:3x 3x 3x 5x 7
852:2x 2x 3x 71
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 609845241600/(3x180)
LCM = 609845241600/540
LCM = 1129343040
Thus, we can understand that the LCM of 789,960,945,852 is 1129343040.
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FAQs on LCM of 789, 960, 945, 852
1. What is the LCM of 789, 960, 945, 852?
Answer: LCM of 789, 960, 945, 852 is 1129343040.
2. How to calculate the LCM of 789, 960, 945, 852?
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 789, 960, 945, 852.
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}.