LCM of 313, 384, 523, 961, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 384, 523, 961, 336 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 313, 384, 523, 961, 336. So, keep reading to learn more.
Given numbers are 313,384,523,961,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,384,523,961,336 is 422862018432.
Find LCM of 313,384,523,961,336 with Prime Factorization
| 2 | 313, 384, 523, 961, 336 |
| 2 | 313, 192, 523, 961, 168 |
| 2 | 313, 96, 523, 961, 84 |
| 2 | 313, 48, 523, 961, 42 |
| 3 | 313, 24, 523, 961, 21 |
| 313, 8, 523, 961, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 313 x 8 x 523 x 961 x 7 = 422862018432
Therefore, the lowest common multiple of 313,384,523,961,336 is 422862018432.
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.
313 x 384 x 523 x 961 x 336 = 20297376884736
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.
313 : 1, 313
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
523 : 1, 523
961 : 1, 31, 961
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,384,523,961,336, is 1.
Now, the common factors can be found like this.
313:313
384:2x 2x 2x 2x 2x 2x 2x 3
523:523
961:31x 31
336:2x 2x 2x 2x 3x 7
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 3 = 48
Therefore, the value for common factors is 48.
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 = 20297376884736/(1x48)
LCM = 20297376884736/48
LCM = 422862018432
Thus, we can understand that the LCM of 313,384,523,961,336 is 422862018432.
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FAQs on LCM of 313, 384, 523, 961, 336
1. What is the LCM of 313, 384, 523, 961, 336?
Answer: LCM of 313, 384, 523, 961, 336 is 422862018432.
2. How to calculate the LCM of 313, 384, 523, 961, 336?
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 313, 384, 523, 961, 336.
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}.