LCM of 5429, 7686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5429, 7686 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 5429, 7686. So, keep reading to learn more.
Given numbers are 5429,7686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5429,7686 is 684054.
Find LCM of 5429,7686 with Prime Factorization
| 61 | 5429, 7686 |
| 89, 126 |
Multiply the prime numbers at the bottom and the left side.
61 x 89 x 126 = 684054
Therefore, the lowest common multiple of 5429,7686 is 684054.
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.
5429 x 7686 = 41727294
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.
5429 : 1, 61, 89, 5429
7686 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686
61 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5429,7686, is 61.
Now, the common factors can be found like this.
5429:61x 89
7686:2x 3x 3x 7x 61
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 = 41727294/(61x1)
LCM = 41727294/61
LCM = 684054
Thus, we can understand that the LCM of 5429,7686 is 684054.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 5429, 7686
1. What is the LCM of 5429, 7686?
Answer: LCM of 5429, 7686 is 684054.
2. How to calculate the LCM of 5429, 7686?
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 5429, 7686.
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}.