LCM of 825, 513, 391, 931, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 513, 391, 931, 682 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 825, 513, 391, 931, 682. So, keep reading to learn more.
Given numbers are 825,513,391,931,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,513,391,931,682 is 167577067350.
Find LCM of 825,513,391,931,682 with Prime Factorization
| 3 | 825, 513, 391, 931, 682 |
| 11 | 275, 171, 391, 931, 682 |
| 19 | 25, 171, 391, 931, 62 |
| 25, 9, 391, 49, 62 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 25 x 9 x 391 x 49 x 62 = 167577067350
Therefore, the lowest common multiple of 825,513,391,931,682 is 167577067350.
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.
825 x 513 x 391 x 931 x 682 = 105070821228450
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
513 : 1, 3, 9, 19, 27, 57, 171, 513
391 : 1, 17, 23, 391
931 : 1, 7, 19, 49, 133, 931
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,513,391,931,682, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
513:3x 3x 3x 19
391:17x 23
931:7x 7x 19
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 19 = 627
Therefore, the value for common factors is 627.
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 = 105070821228450/(1x627)
LCM = 105070821228450/627
LCM = 167577067350
Thus, we can understand that the LCM of 825,513,391,931,682 is 167577067350.
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FAQs on LCM of 825, 513, 391, 931, 682
1. What is the LCM of 825, 513, 391, 931, 682?
Answer: LCM of 825, 513, 391, 931, 682 is 167577067350.
2. How to calculate the LCM of 825, 513, 391, 931, 682?
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 825, 513, 391, 931, 682.
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}.