LCM of 789, 407, 146, 264, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 407, 146, 264, 289 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, 407, 146, 264, 289. So, keep reading to learn more.
Given numbers are 789,407,146,264,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,407,146,264,289 is 54197855448.
Find LCM of 789,407,146,264,289 with Prime Factorization
| 2 | 789, 407, 146, 264, 289 |
| 3 | 789, 407, 73, 132, 289 |
| 11 | 263, 407, 73, 44, 289 |
| 263, 37, 73, 4, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 263 x 37 x 73 x 4 x 289 = 54197855448
Therefore, the lowest common multiple of 789,407,146,264,289 is 54197855448.
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 407 x 146 x 264 x 289 = 3577058459568
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
407 : 1, 11, 37, 407
146 : 1, 2, 73, 146
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,407,146,264,289, is 1.
Now, the common factors can be found like this.
789:3x 263
407:11x 37
146:2x 73
264:2x 2x 2x 3x 11
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 3577058459568/(1x66)
LCM = 3577058459568/66
LCM = 54197855448
Thus, we can understand that the LCM of 789,407,146,264,289 is 54197855448.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 407, 146, 264, 289
1. What is the LCM of 789, 407, 146, 264, 289?
Answer: LCM of 789, 407, 146, 264, 289 is 54197855448.
2. How to calculate the LCM of 789, 407, 146, 264, 289?
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, 407, 146, 264, 289.
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}.