LCM of 830, 506, 675, 275, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 506, 675, 275, 961 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 830, 506, 675, 275, 961. So, keep reading to learn more.
Given numbers are 830,506,675,275,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,506,675,275,961 is 27243052650.
Find LCM of 830,506,675,275,961 with Prime Factorization
| 2 | 830, 506, 675, 275, 961 |
| 5 | 415, 253, 675, 275, 961 |
| 5 | 83, 253, 135, 55, 961 |
| 11 | 83, 253, 27, 11, 961 |
| 83, 23, 27, 1, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 83 x 23 x 27 x 1 x 961 = 27243052650
Therefore, the lowest common multiple of 830,506,675,275,961 is 27243052650.
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.
830 x 506 x 675 x 275 x 961 = 74918394787500
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
506 : 1, 2, 11, 22, 23, 46, 253, 506
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
275 : 1, 5, 11, 25, 55, 275
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,506,675,275,961, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
506:2x 11x 23
675:3x 3x 3x 5x 5
275:5x 5x 11
961:31x 31
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 5x 11 = 2750
Therefore, the value for common factors is 2750.
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 = 74918394787500/(1x2750)
LCM = 74918394787500/2750
LCM = 27243052650
Thus, we can understand that the LCM of 830,506,675,275,961 is 27243052650.
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FAQs on LCM of 830, 506, 675, 275, 961
1. What is the LCM of 830, 506, 675, 275, 961?
Answer: LCM of 830, 506, 675, 275, 961 is 27243052650.
2. How to calculate the LCM of 830, 506, 675, 275, 961?
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 830, 506, 675, 275, 961.
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}.