LCM of 964, 831, 616, 754, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 831, 616, 754, 903 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 964, 831, 616, 754, 903. So, keep reading to learn more.
Given numbers are 964,831,616,754,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,831,616,754,903 is 1999901399496.
Find LCM of 964,831,616,754,903 with Prime Factorization
| 2 | 964, 831, 616, 754, 903 |
| 2 | 482, 831, 308, 377, 903 |
| 3 | 241, 831, 154, 377, 903 |
| 7 | 241, 277, 154, 377, 301 |
| 241, 277, 22, 377, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 241 x 277 x 22 x 377 x 43 = 1999901399496
Therefore, the lowest common multiple of 964,831,616,754,903 is 1999901399496.
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.
964 x 831 x 616 x 754 x 903 = 335983435115328
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.
964 : 1, 2, 4, 241, 482, 964
831 : 1, 3, 277, 831
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
754 : 1, 2, 13, 26, 29, 58, 377, 754
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,831,616,754,903, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
831:3x 277
616:2x 2x 2x 7x 11
754:2x 13x 29
903:3x 7x 43
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 7 = 168
Therefore, the value for common factors is 168.
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 = 335983435115328/(1x168)
LCM = 335983435115328/168
LCM = 1999901399496
Thus, we can understand that the LCM of 964,831,616,754,903 is 1999901399496.
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FAQs on LCM of 964, 831, 616, 754, 903
1. What is the LCM of 964, 831, 616, 754, 903?
Answer: LCM of 964, 831, 616, 754, 903 is 1999901399496.
2. How to calculate the LCM of 964, 831, 616, 754, 903?
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 964, 831, 616, 754, 903.
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}.