LCM of 960, 920, 789, 378, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 920, 789, 378, 172 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 960, 920, 789, 378, 172. So, keep reading to learn more.
Given numbers are 960,920,789,378,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,920,789,378,172 is 15731271360.
Find LCM of 960,920,789,378,172 with Prime Factorization
| 2 | 960, 920, 789, 378, 172 |
| 2 | 480, 460, 789, 189, 86 |
| 2 | 240, 230, 789, 189, 43 |
| 3 | 120, 115, 789, 189, 43 |
| 5 | 40, 115, 263, 63, 43 |
| 8, 23, 263, 63, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 8 x 23 x 263 x 63 x 43 = 15731271360
Therefore, the lowest common multiple of 960,920,789,378,172 is 15731271360.
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.
960 x 920 x 789 x 378 x 172 = 45306061516800
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.
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
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
789 : 1, 3, 263, 789
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,920,789,378,172, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
920:2x 2x 2x 5x 23
789:3x 263
378:2x 3x 3x 3x 7
172:2x 2x 43
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 5 = 2880
Therefore, the value for common factors is 2880.
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 = 45306061516800/(1x2880)
LCM = 45306061516800/2880
LCM = 15731271360
Thus, we can understand that the LCM of 960,920,789,378,172 is 15731271360.
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FAQs on LCM of 960, 920, 789, 378, 172
1. What is the LCM of 960, 920, 789, 378, 172?
Answer: LCM of 960, 920, 789, 378, 172 is 15731271360.
2. How to calculate the LCM of 960, 920, 789, 378, 172?
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 960, 920, 789, 378, 172.
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}.