LCM of 312, 198, 904, 712, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 198, 904, 712, 496 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 312, 198, 904, 712, 496. So, keep reading to learn more.
Given numbers are 312,198,904,712,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,198,904,712,496 is 6419906064.
Find LCM of 312,198,904,712,496 with Prime Factorization
| 2 | 312, 198, 904, 712, 496 |
| 2 | 156, 99, 452, 356, 248 |
| 2 | 78, 99, 226, 178, 124 |
| 3 | 39, 99, 113, 89, 62 |
| 13, 33, 113, 89, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 33 x 113 x 89 x 62 = 6419906064
Therefore, the lowest common multiple of 312,198,904,712,496 is 6419906064.
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.
312 x 198 x 904 x 712 x 496 = 19721951428608
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
904 : 1, 2, 4, 8, 113, 226, 452, 904
712 : 1, 2, 4, 8, 89, 178, 356, 712
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,198,904,712,496, is 2.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
198:2x 3x 3x 11
904:2x 2x 2x 113
712:2x 2x 2x 89
496:2x 2x 2x 2x 31
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 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 19721951428608/(2x1536)
LCM = 19721951428608/3072
LCM = 6419906064
Thus, we can understand that the LCM of 312,198,904,712,496 is 6419906064.
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FAQs on LCM of 312, 198, 904, 712, 496
1. What is the LCM of 312, 198, 904, 712, 496?
Answer: LCM of 312, 198, 904, 712, 496 is 6419906064.
2. How to calculate the LCM of 312, 198, 904, 712, 496?
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 312, 198, 904, 712, 496.
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}.