LCM of 844, 969, 446, 608, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 969, 446, 608, 721 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 844, 969, 446, 608, 721. So, keep reading to learn more.
Given numbers are 844,969,446,608,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,969,446,608,721 is 1051953004704.
Find LCM of 844,969,446,608,721 with Prime Factorization
| 2 | 844, 969, 446, 608, 721 |
| 2 | 422, 969, 223, 304, 721 |
| 19 | 211, 969, 223, 152, 721 |
| 211, 51, 223, 8, 721 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 211 x 51 x 223 x 8 x 721 = 1051953004704
Therefore, the lowest common multiple of 844,969,446,608,721 is 1051953004704.
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.
844 x 969 x 446 x 608 x 721 = 159896856715008
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.
844 : 1, 2, 4, 211, 422, 844
969 : 1, 3, 17, 19, 51, 57, 323, 969
446 : 1, 2, 223, 446
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,969,446,608,721, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
969:3x 17x 19
446:2x 223
608:2x 2x 2x 2x 2x 19
721:7x 103
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 19 = 152
Therefore, the value for common factors is 152.
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 = 159896856715008/(1x152)
LCM = 159896856715008/152
LCM = 1051953004704
Thus, we can understand that the LCM of 844,969,446,608,721 is 1051953004704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 969, 446, 608, 721
1. What is the LCM of 844, 969, 446, 608, 721?
Answer: LCM of 844, 969, 446, 608, 721 is 1051953004704.
2. How to calculate the LCM of 844, 969, 446, 608, 721?
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 844, 969, 446, 608, 721.
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}.