LCM of 8538, 5049
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8538, 5049 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 8538, 5049. So, keep reading to learn more.
Given numbers are 8538,5049
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8538,5049 is 14369454.
Find LCM of 8538,5049 with Prime Factorization
| 3 | 8538, 5049 |
| 2846, 1683 |
Multiply the prime numbers at the bottom and the left side.
3 x 2846 x 1683 = 14369454
Therefore, the lowest common multiple of 8538,5049 is 14369454.
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.
8538 x 5049 = 43108362
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.
8538 : 1, 2, 3, 6, 1423, 2846, 4269, 8538
5049 : 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8538,5049, is 3.
Now, the common factors can be found like this.
8538:2x 3x 1423
5049:3x 3x 3x 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.
= 1
Therefore, the value for common factors is 1.
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 = 43108362/(3x1)
LCM = 43108362/3
LCM = 14369454
Thus, we can understand that the LCM of 8538,5049 is 14369454.
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FAQs on LCM of 8538, 5049
1. What is the LCM of 8538, 5049?
Answer: LCM of 8538, 5049 is 14369454.
2. How to calculate the LCM of 8538, 5049?
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 8538, 5049.
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}.