LCM of 965, 208, 319, 904, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 208, 319, 904, 416 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 965, 208, 319, 904, 416. So, keep reading to learn more.
Given numbers are 965,208,319,904,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,208,319,904,416 is 14470707680.
Find LCM of 965,208,319,904,416 with Prime Factorization
| 2 | 965, 208, 319, 904, 416 |
| 2 | 965, 104, 319, 452, 208 |
| 2 | 965, 52, 319, 226, 104 |
| 2 | 965, 26, 319, 113, 52 |
| 13 | 965, 13, 319, 113, 26 |
| 965, 1, 319, 113, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 965 x 1 x 319 x 113 x 2 = 14470707680
Therefore, the lowest common multiple of 965,208,319,904,416 is 14470707680.
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.
965 x 208 x 319 x 904 x 416 = 24079257579520
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.
965 : 1, 5, 193, 965
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
319 : 1, 11, 29, 319
904 : 1, 2, 4, 8, 113, 226, 452, 904
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,208,319,904,416, is 1.
Now, the common factors can be found like this.
965:5x 193
208:2x 2x 2x 2x 13
319:11x 29
904:2x 2x 2x 113
416:2x 2x 2x 2x 2x 13
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 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 24079257579520/(1x1664)
LCM = 24079257579520/1664
LCM = 14470707680
Thus, we can understand that the LCM of 965,208,319,904,416 is 14470707680.
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FAQs on LCM of 965, 208, 319, 904, 416
1. What is the LCM of 965, 208, 319, 904, 416?
Answer: LCM of 965, 208, 319, 904, 416 is 14470707680.
2. How to calculate the LCM of 965, 208, 319, 904, 416?
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 965, 208, 319, 904, 416.
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}.