LCM of 774, 904, 712, 909, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 904, 712, 909, 130 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 774, 904, 712, 909, 130. So, keep reading to learn more.
Given numbers are 774,904,712,909,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,904,712,909,130 is 204410938680.
Find LCM of 774,904,712,909,130 with Prime Factorization
| 2 | 774, 904, 712, 909, 130 |
| 2 | 387, 452, 356, 909, 65 |
| 2 | 387, 226, 178, 909, 65 |
| 3 | 387, 113, 89, 909, 65 |
| 3 | 129, 113, 89, 303, 65 |
| 43, 113, 89, 101, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 43 x 113 x 89 x 101 x 65 = 204410938680
Therefore, the lowest common multiple of 774,904,712,909,130 is 204410938680.
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.
774 x 904 x 712 x 909 x 130 = 58870350339840
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
904 : 1, 2, 4, 8, 113, 226, 452, 904
712 : 1, 2, 4, 8, 89, 178, 356, 712
909 : 1, 3, 9, 101, 303, 909
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,904,712,909,130, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
904:2x 2x 2x 113
712:2x 2x 2x 89
909:3x 3x 101
130:2x 5x 13
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 58870350339840/(1x288)
LCM = 58870350339840/288
LCM = 204410938680
Thus, we can understand that the LCM of 774,904,712,909,130 is 204410938680.
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FAQs on LCM of 774, 904, 712, 909, 130
1. What is the LCM of 774, 904, 712, 909, 130?
Answer: LCM of 774, 904, 712, 909, 130 is 204410938680.
2. How to calculate the LCM of 774, 904, 712, 909, 130?
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 774, 904, 712, 909, 130.
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}.