LCM of 309, 917, 865, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 917, 865, 705 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 309, 917, 865, 705. So, keep reading to learn more.
Given numbers are 309,917,865,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,917,865,705 is 11519716215.
Find LCM of 309,917,865,705 with Prime Factorization
| 3 | 309, 917, 865, 705 |
| 5 | 103, 917, 865, 235 |
| 103, 917, 173, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 103 x 917 x 173 x 47 = 11519716215
Therefore, the lowest common multiple of 309,917,865,705 is 11519716215.
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.
309 x 917 x 865 x 705 = 172795743225
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.
309 : 1, 3, 103, 309
917 : 1, 7, 131, 917
865 : 1, 5, 173, 865
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,917,865,705, is 1.
Now, the common factors can be found like this.
309:3x 103
917:7x 131
865:5x 173
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 172795743225/(1x15)
LCM = 172795743225/15
LCM = 11519716215
Thus, we can understand that the LCM of 309,917,865,705 is 11519716215.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 917, 865, 705
1. What is the LCM of 309, 917, 865, 705?
Answer: LCM of 309, 917, 865, 705 is 11519716215.
2. How to calculate the LCM of 309, 917, 865, 705?
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 309, 917, 865, 705.
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}.