LCM of 681, 275, 935, 544, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 275, 935, 544, 530 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 681, 275, 935, 544, 530. So, keep reading to learn more.
Given numbers are 681,275,935,544,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,275,935,544,530 is 5399512800.
Find LCM of 681,275,935,544,530 with Prime Factorization
| 2 | 681, 275, 935, 544, 530 |
| 5 | 681, 275, 935, 272, 265 |
| 11 | 681, 55, 187, 272, 53 |
| 17 | 681, 5, 17, 272, 53 |
| 681, 5, 1, 16, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 681 x 5 x 1 x 16 x 53 = 5399512800
Therefore, the lowest common multiple of 681,275,935,544,530 is 5399512800.
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.
681 x 275 x 935 x 544 x 530 = 50485444680000
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.
681 : 1, 3, 227, 681
275 : 1, 5, 11, 25, 55, 275
935 : 1, 5, 11, 17, 55, 85, 187, 935
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,275,935,544,530, is 1.
Now, the common factors can be found like this.
681:3x 227
275:5x 5x 11
935:5x 11x 17
544:2x 2x 2x 2x 2x 17
530:2x 5x 53
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 11x 17 = 9350
Therefore, the value for common factors is 9350.
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 = 50485444680000/(1x9350)
LCM = 50485444680000/9350
LCM = 5399512800
Thus, we can understand that the LCM of 681,275,935,544,530 is 5399512800.
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FAQs on LCM of 681, 275, 935, 544, 530
1. What is the LCM of 681, 275, 935, 544, 530?
Answer: LCM of 681, 275, 935, 544, 530 is 5399512800.
2. How to calculate the LCM of 681, 275, 935, 544, 530?
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 681, 275, 935, 544, 530.
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}.