LCM of 5136, 5688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5136, 5688 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 5136, 5688. So, keep reading to learn more.
Given numbers are 5136,5688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5136,5688 is 1217232.
Find LCM of 5136,5688 with Prime Factorization
| 2 | 5136, 5688 |
| 2 | 2568, 2844 |
| 2 | 1284, 1422 |
| 3 | 642, 711 |
| 214, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 214 x 237 = 1217232
Therefore, the lowest common multiple of 5136,5688 is 1217232.
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.
5136 x 5688 = 29213568
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.
5136 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136
5688 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
24 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5136,5688, is 24.
Now, the common factors can be found like this.
5136:2x 2x 2x 2x 3x 107
5688:2x 2x 2x 3x 3x 79
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 = 29213568/(24x1)
LCM = 29213568/24
LCM = 1217232
Thus, we can understand that the LCM of 5136,5688 is 1217232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 5136, 5688
1. What is the LCM of 5136, 5688?
Answer: LCM of 5136, 5688 is 1217232.
2. How to calculate the LCM of 5136, 5688?
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 5136, 5688.
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}.