LCM of 791, 120, 349, 219, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 120, 349, 219, 944 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 791, 120, 349, 219, 944. So, keep reading to learn more.
Given numbers are 791,120,349,219,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,120,349,219,944 is 285356667120.
Find LCM of 791,120,349,219,944 with Prime Factorization
| 2 | 791, 120, 349, 219, 944 |
| 2 | 791, 60, 349, 219, 472 |
| 2 | 791, 30, 349, 219, 236 |
| 3 | 791, 15, 349, 219, 118 |
| 791, 5, 349, 73, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 791 x 5 x 349 x 73 x 118 = 285356667120
Therefore, the lowest common multiple of 791,120,349,219,944 is 285356667120.
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.
791 x 120 x 349 x 219 x 944 = 6848560010880
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.
791 : 1, 7, 113, 791
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
349 : 1, 349
219 : 1, 3, 73, 219
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,120,349,219,944, is 1.
Now, the common factors can be found like this.
791:7x 113
120:2x 2x 2x 3x 5
349:349
219:3x 73
944:2x 2x 2x 2x 59
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 3 = 24
Therefore, the value for common factors is 24.
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 = 6848560010880/(1x24)
LCM = 6848560010880/24
LCM = 285356667120
Thus, we can understand that the LCM of 791,120,349,219,944 is 285356667120.
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FAQs on LCM of 791, 120, 349, 219, 944
1. What is the LCM of 791, 120, 349, 219, 944?
Answer: LCM of 791, 120, 349, 219, 944 is 285356667120.
2. How to calculate the LCM of 791, 120, 349, 219, 944?
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 791, 120, 349, 219, 944.
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}.