LCM of 739, 831, 678, 904, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 831, 678, 904, 476 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 739, 831, 678, 904, 476. So, keep reading to learn more.
Given numbers are 739,831,678,904,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,831,678,904,476 is 66063389784.
Find LCM of 739,831,678,904,476 with Prime Factorization
| 2 | 739, 831, 678, 904, 476 |
| 2 | 739, 831, 339, 452, 238 |
| 3 | 739, 831, 339, 226, 119 |
| 113 | 739, 277, 113, 226, 119 |
| 739, 277, 1, 2, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 739 x 277 x 1 x 2 x 119 = 66063389784
Therefore, the lowest common multiple of 739,831,678,904,476 is 66063389784.
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.
739 x 831 x 678 x 904 x 476 = 179163913094208
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.
739 : 1, 739
831 : 1, 3, 277, 831
678 : 1, 2, 3, 6, 113, 226, 339, 678
904 : 1, 2, 4, 8, 113, 226, 452, 904
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,831,678,904,476, is 1.
Now, the common factors can be found like this.
739:739
831:3x 277
678:2x 3x 113
904:2x 2x 2x 113
476:2x 2x 7x 17
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 113 = 2712
Therefore, the value for common factors is 2712.
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 = 179163913094208/(1x2712)
LCM = 179163913094208/2712
LCM = 66063389784
Thus, we can understand that the LCM of 739,831,678,904,476 is 66063389784.
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FAQs on LCM of 739, 831, 678, 904, 476
1. What is the LCM of 739, 831, 678, 904, 476?
Answer: LCM of 739, 831, 678, 904, 476 is 66063389784.
2. How to calculate the LCM of 739, 831, 678, 904, 476?
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 739, 831, 678, 904, 476.
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}.