LCM of 584, 904, 909, 962, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 904, 909, 962, 716 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 584, 904, 909, 962, 716. So, keep reading to learn more.
Given numbers are 584,904,909,962,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,904,909,962,716 is 5164797294072.
Find LCM of 584,904,909,962,716 with Prime Factorization
| 2 | 584, 904, 909, 962, 716 |
| 2 | 292, 452, 909, 481, 358 |
| 2 | 146, 226, 909, 481, 179 |
| 73, 113, 909, 481, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 73 x 113 x 909 x 481 x 179 = 5164797294072
Therefore, the lowest common multiple of 584,904,909,962,716 is 5164797294072.
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.
584 x 904 x 909 x 962 x 716 = 330547026820608
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
904 : 1, 2, 4, 8, 113, 226, 452, 904
909 : 1, 3, 9, 101, 303, 909
962 : 1, 2, 13, 26, 37, 74, 481, 962
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,904,909,962,716, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
904:2x 2x 2x 113
909:3x 3x 101
962:2x 13x 37
716:2x 2x 179
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 330547026820608/(1x64)
LCM = 330547026820608/64
LCM = 5164797294072
Thus, we can understand that the LCM of 584,904,909,962,716 is 5164797294072.
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FAQs on LCM of 584, 904, 909, 962, 716
1. What is the LCM of 584, 904, 909, 962, 716?
Answer: LCM of 584, 904, 909, 962, 716 is 5164797294072.
2. How to calculate the LCM of 584, 904, 909, 962, 716?
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 584, 904, 909, 962, 716.
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}.