Find the LCM of 1253, 5191 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 1253, 5191. So, keep reading to learn more.
Given numbers are 1253,5191
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1253,5191 is 36337.
Find LCM of 1253,5191 with Prime Factorization
| 179 | 1253, 5191 |
| 7, 29 |
Multiply the prime numbers at the bottom and the left side.
179 x 7 x 29 = 36337
Therefore, the lowest common multiple of 1253,5191 is 36337.
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.
1253 x 5191 = 6504323
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.
1253 : 1, 7, 179, 1253
5191 : 1, 29, 179, 5191
179 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1253,5191, is 179.
Now, the common factors can be found like this.
1253:7x 179
5191:29x 179
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 = 6504323/(179x1)
LCM = 6504323/179
LCM = 36337
Thus, we can understand that the LCM of 1253,5191 is 36337.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1253, 5191?
Answer: LCM of 1253, 5191 is 36337.
2. How to calculate the LCM of 1253, 5191?
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 1253, 5191.
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}.