LCM of 715, 724, 360, 836, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 724, 360, 836, 904 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 715, 724, 360, 836, 904. So, keep reading to learn more.
Given numbers are 715,724,360,836,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,724,360,836,904 is 20005488360.
Find LCM of 715,724,360,836,904 with Prime Factorization
| 2 | 715, 724, 360, 836, 904 |
| 2 | 715, 362, 180, 418, 452 |
| 2 | 715, 181, 90, 209, 226 |
| 5 | 715, 181, 45, 209, 113 |
| 11 | 143, 181, 9, 209, 113 |
| 13, 181, 9, 19, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 13 x 181 x 9 x 19 x 113 = 20005488360
Therefore, the lowest common multiple of 715,724,360,836,904 is 20005488360.
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.
715 x 724 x 360 x 836 x 904 = 140838638054400
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
724 : 1, 2, 4, 181, 362, 724
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,724,360,836,904, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
724:2x 2x 181
360:2x 2x 2x 3x 3x 5
836:2x 2x 11x 19
904:2x 2x 2x 113
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 2x 2x 5x 11 = 7040
Therefore, the value for common factors is 7040.
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 = 140838638054400/(1x7040)
LCM = 140838638054400/7040
LCM = 20005488360
Thus, we can understand that the LCM of 715,724,360,836,904 is 20005488360.
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FAQs on LCM of 715, 724, 360, 836, 904
1. What is the LCM of 715, 724, 360, 836, 904?
Answer: LCM of 715, 724, 360, 836, 904 is 20005488360.
2. How to calculate the LCM of 715, 724, 360, 836, 904?
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 715, 724, 360, 836, 904.
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}.