LCM of 933, 671, 726, 669, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 671, 726, 669, 791 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 933, 671, 726, 669, 791. So, keep reading to learn more.
Given numbers are 933,671,726,669,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,671,726,669,791 is 2429451263778.
Find LCM of 933,671,726,669,791 with Prime Factorization
| 3 | 933, 671, 726, 669, 791 |
| 11 | 311, 671, 242, 223, 791 |
| 311, 61, 22, 223, 791 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 311 x 61 x 22 x 223 x 791 = 2429451263778
Therefore, the lowest common multiple of 933,671,726,669,791 is 2429451263778.
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.
933 x 671 x 726 x 669 x 791 = 240515675114022
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.
933 : 1, 3, 311, 933
671 : 1, 11, 61, 671
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
669 : 1, 3, 223, 669
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,671,726,669,791, is 1.
Now, the common factors can be found like this.
933:3x 311
671:11x 61
726:2x 3x 11x 11
669:3x 223
791:7x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11 = 99
Therefore, the value for common factors is 99.
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 = 240515675114022/(1x99)
LCM = 240515675114022/99
LCM = 2429451263778
Thus, we can understand that the LCM of 933,671,726,669,791 is 2429451263778.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 933, 671, 726, 669, 791
1. What is the LCM of 933, 671, 726, 669, 791?
Answer: LCM of 933, 671, 726, 669, 791 is 2429451263778.
2. How to calculate the LCM of 933, 671, 726, 669, 791?
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 933, 671, 726, 669, 791.
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}.