LCM of 715, 420, 910, 571
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 420, 910, 571 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, 420, 910, 571. So, keep reading to learn more.
Given numbers are 715,420,910,571
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,420,910,571 is 34294260.
Find LCM of 715,420,910,571 with Prime Factorization
| 2 | 715, 420, 910, 571 |
| 5 | 715, 210, 455, 571 |
| 7 | 143, 42, 91, 571 |
| 13 | 143, 6, 13, 571 |
| 11, 6, 1, 571 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 11 x 6 x 1 x 571 = 34294260
Therefore, the lowest common multiple of 715,420,910,571 is 34294260.
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 420 x 910 x 571 = 156038883000
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
571 : 1, 571
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,420,910,571, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
420:2x 2x 3x 5x 7
910:2x 5x 7x 13
571:571
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 13 = 4550
Therefore, the value for common factors is 4550.
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 = 156038883000/(1x4550)
LCM = 156038883000/4550
LCM = 34294260
Thus, we can understand that the LCM of 715,420,910,571 is 34294260.
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FAQs on LCM of 715, 420, 910, 571
1. What is the LCM of 715, 420, 910, 571?
Answer: LCM of 715, 420, 910, 571 is 34294260.
2. How to calculate the LCM of 715, 420, 910, 571?
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, 420, 910, 571.
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}.