LCM of 789, 916, 456, 275, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 916, 456, 275, 380 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, 916, 456, 275, 380. So, keep reading to learn more.
Given numbers are 789,916,456,275,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,916,456,275,380 is 7552465800.
Find LCM of 789,916,456,275,380 with Prime Factorization
| 2 | 789, 916, 456, 275, 380 |
| 2 | 789, 458, 228, 275, 190 |
| 3 | 789, 229, 114, 275, 95 |
| 5 | 263, 229, 38, 275, 95 |
| 19 | 263, 229, 38, 55, 19 |
| 263, 229, 2, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 263 x 229 x 2 x 55 x 1 = 7552465800
Therefore, the lowest common multiple of 789,916,456,275,380 is 7552465800.
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 916 x 456 x 275 x 380 = 34439244048000
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
916 : 1, 2, 4, 229, 458, 916
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
275 : 1, 5, 11, 25, 55, 275
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,916,456,275,380, is 1.
Now, the common factors can be found like this.
789:3x 263
916:2x 2x 229
456:2x 2x 2x 3x 19
275:5x 5x 11
380:2x 2x 5x 19
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 5x 19 = 4560
Therefore, the value for common factors is 4560.
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 = 34439244048000/(1x4560)
LCM = 34439244048000/4560
LCM = 7552465800
Thus, we can understand that the LCM of 789,916,456,275,380 is 7552465800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 789, 916, 456, 275, 380
1. What is the LCM of 789, 916, 456, 275, 380?
Answer: LCM of 789, 916, 456, 275, 380 is 7552465800.
2. How to calculate the LCM of 789, 916, 456, 275, 380?
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, 916, 456, 275, 380.
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}.