LCM of 298, 837, 806, 168, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 837, 806, 168, 513 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 298, 837, 806, 168, 513. So, keep reading to learn more.
Given numbers are 298,837,806,168,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,837,806,168,513 is 1725030216.
Find LCM of 298,837,806,168,513 with Prime Factorization
| 2 | 298, 837, 806, 168, 513 |
| 3 | 149, 837, 403, 84, 513 |
| 3 | 149, 279, 403, 28, 171 |
| 3 | 149, 93, 403, 28, 57 |
| 31 | 149, 31, 403, 28, 19 |
| 149, 1, 13, 28, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 31 x 149 x 1 x 13 x 28 x 19 = 1725030216
Therefore, the lowest common multiple of 298,837,806,168,513 is 1725030216.
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.
298 x 837 x 806 x 168 x 513 = 17326203489504
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.
298 : 1, 2, 149, 298
837 : 1, 3, 9, 27, 31, 93, 279, 837
806 : 1, 2, 13, 26, 31, 62, 403, 806
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,837,806,168,513, is 1.
Now, the common factors can be found like this.
298:2x 149
837:3x 3x 3x 31
806:2x 13x 31
168:2x 2x 2x 3x 7
513:3x 3x 3x 19
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 3x 3x 3x 3x 31 = 10044
Therefore, the value for common factors is 10044.
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 = 17326203489504/(1x10044)
LCM = 17326203489504/10044
LCM = 1725030216
Thus, we can understand that the LCM of 298,837,806,168,513 is 1725030216.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 298, 837, 806, 168, 513
1. What is the LCM of 298, 837, 806, 168, 513?
Answer: LCM of 298, 837, 806, 168, 513 is 1725030216.
2. How to calculate the LCM of 298, 837, 806, 168, 513?
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 298, 837, 806, 168, 513.
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}.