LCM of 313, 546, 706, 966, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 546, 706, 966, 832 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, 546, 706, 966, 832. So, keep reading to learn more.
Given numbers are 313,546,706,966,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,546,706,966,832 is 44400667584.
Find LCM of 313,546,706,966,832 with Prime Factorization
| 2 | 313, 546, 706, 966, 832 |
| 3 | 313, 273, 353, 483, 416 |
| 7 | 313, 91, 353, 161, 416 |
| 13 | 313, 13, 353, 23, 416 |
| 313, 1, 353, 23, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 313 x 1 x 353 x 23 x 32 = 44400667584
Therefore, the lowest common multiple of 313,546,706,966,832 is 44400667584.
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 546 x 706 x 966 x 832 = 96971058003456
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
706 : 1, 2, 353, 706
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,546,706,966,832, is 1.
Now, the common factors can be found like this.
313:313
546:2x 3x 7x 13
706:2x 353
966:2x 3x 7x 23
832:2x 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 3x 7x 13 = 2184
Therefore, the value for common factors is 2184.
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 = 96971058003456/(1x2184)
LCM = 96971058003456/2184
LCM = 44400667584
Thus, we can understand that the LCM of 313,546,706,966,832 is 44400667584.
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FAQs on LCM of 313, 546, 706, 966, 832
1. What is the LCM of 313, 546, 706, 966, 832?
Answer: LCM of 313, 546, 706, 966, 832 is 44400667584.
2. How to calculate the LCM of 313, 546, 706, 966, 832?
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, 546, 706, 966, 832.
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}.