LCM of 535, 520, 713, 979, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 520, 713, 979, 260 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 535, 520, 713, 979, 260. So, keep reading to learn more.
Given numbers are 535,520,713,979,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,520,713,979,260 is 38838222280.
Find LCM of 535,520,713,979,260 with Prime Factorization
| 2 | 535, 520, 713, 979, 260 |
| 2 | 535, 260, 713, 979, 130 |
| 5 | 535, 65, 713, 979, 130 |
| 13 | 107, 13, 713, 979, 26 |
| 107, 1, 713, 979, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 107 x 1 x 713 x 979 x 2 = 38838222280
Therefore, the lowest common multiple of 535,520,713,979,260 is 38838222280.
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.
535 x 520 x 713 x 979 x 260 = 50489688964000
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.
535 : 1, 5, 107, 535
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
713 : 1, 23, 31, 713
979 : 1, 11, 89, 979
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,520,713,979,260, is 1.
Now, the common factors can be found like this.
535:5x 107
520:2x 2x 2x 5x 13
713:23x 31
979:11x 89
260:2x 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 5x 5x 13 = 1300
Therefore, the value for common factors is 1300.
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 = 50489688964000/(1x1300)
LCM = 50489688964000/1300
LCM = 38838222280
Thus, we can understand that the LCM of 535,520,713,979,260 is 38838222280.
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FAQs on LCM of 535, 520, 713, 979, 260
1. What is the LCM of 535, 520, 713, 979, 260?
Answer: LCM of 535, 520, 713, 979, 260 is 38838222280.
2. How to calculate the LCM of 535, 520, 713, 979, 260?
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 535, 520, 713, 979, 260.
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}.