LCM of 914, 682, 520, 517, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 682, 520, 517, 935 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 914, 682, 520, 517, 935. So, keep reading to learn more.
Given numbers are 914,682,520,517,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,682,520,517,935 is 64747156760.
Find LCM of 914,682,520,517,935 with Prime Factorization
| 2 | 914, 682, 520, 517, 935 |
| 5 | 457, 341, 260, 517, 935 |
| 11 | 457, 341, 52, 517, 187 |
| 457, 31, 52, 47, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 457 x 31 x 52 x 47 x 17 = 64747156760
Therefore, the lowest common multiple of 914,682,520,517,935 is 64747156760.
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.
914 x 682 x 520 x 517 x 935 = 156688119359200
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.
914 : 1, 2, 457, 914
682 : 1, 2, 11, 22, 31, 62, 341, 682
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
517 : 1, 11, 47, 517
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,682,520,517,935, is 1.
Now, the common factors can be found like this.
914:2x 457
682:2x 11x 31
520:2x 2x 2x 5x 13
517:11x 47
935:5x 11x 17
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 11x 11 = 2420
Therefore, the value for common factors is 2420.
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 = 156688119359200/(1x2420)
LCM = 156688119359200/2420
LCM = 64747156760
Thus, we can understand that the LCM of 914,682,520,517,935 is 64747156760.
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FAQs on LCM of 914, 682, 520, 517, 935
1. What is the LCM of 914, 682, 520, 517, 935?
Answer: LCM of 914, 682, 520, 517, 935 is 64747156760.
2. How to calculate the LCM of 914, 682, 520, 517, 935?
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 914, 682, 520, 517, 935.
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}.