LCM of 737, 964, 964, 721, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 964, 964, 721, 792 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 737, 964, 964, 721, 792. So, keep reading to learn more.
Given numbers are 737,964,964,721,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,964,964,721,792 is 9220453704.
Find LCM of 737,964,964,721,792 with Prime Factorization
| 2 | 737, 964, 964, 721, 792 |
| 2 | 737, 482, 482, 721, 396 |
| 11 | 737, 241, 241, 721, 198 |
| 241 | 67, 241, 241, 721, 18 |
| 67, 1, 1, 721, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 241 x 67 x 1 x 1 x 721 x 18 = 9220453704
Therefore, the lowest common multiple of 737,964,964,721,792 is 9220453704.
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.
737 x 964 x 964 x 721 x 792 = 391094764308864
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.
737 : 1, 11, 67, 737
964 : 1, 2, 4, 241, 482, 964
964 : 1, 2, 4, 241, 482, 964
721 : 1, 7, 103, 721
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,964,964,721,792, is 1.
Now, the common factors can be found like this.
737:11x 67
964:2x 2x 241
964:2x 2x 241
721:7x 103
792:2x 2x 2x 3x 3x 11
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 11x 241 = 42416
Therefore, the value for common factors is 42416.
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 = 391094764308864/(1x42416)
LCM = 391094764308864/42416
LCM = 9220453704
Thus, we can understand that the LCM of 737,964,964,721,792 is 9220453704.
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FAQs on LCM of 737, 964, 964, 721, 792
1. What is the LCM of 737, 964, 964, 721, 792?
Answer: LCM of 737, 964, 964, 721, 792 is 9220453704.
2. How to calculate the LCM of 737, 964, 964, 721, 792?
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 737, 964, 964, 721, 792.
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}.