LCM of 5236, 5423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5236, 5423 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 5236, 5423. So, keep reading to learn more.
Given numbers are 5236,5423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5236,5423 is 151844.
Find LCM of 5236,5423 with Prime Factorization
| 11 | 5236, 5423 |
| 17 | 476, 493 |
| 28, 29 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 28 x 29 = 151844
Therefore, the lowest common multiple of 5236,5423 is 151844.
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.
5236 x 5423 = 28394828
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.
5236 : 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236
5423 : 1, 11, 17, 29, 187, 319, 493, 5423
187 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5236,5423, is 187.
Now, the common factors can be found like this.
5236:2x 2x 7x 11x 17
5423:11x 17x 29
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 = 28394828/(187x1)
LCM = 28394828/187
LCM = 151844
Thus, we can understand that the LCM of 5236,5423 is 151844.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 5236, 5423
1. What is the LCM of 5236, 5423?
Answer: LCM of 5236, 5423 is 151844.
2. How to calculate the LCM of 5236, 5423?
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 5236, 5423.
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}.