Find the LCM of 851, 209, 253 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 851, 209, 253. So, keep reading to learn more.
Given numbers are 851,209,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,209,253 is 177859.
Find LCM of 851,209,253 with Prime Factorization
11 | 851, 209, 253 |
23 | 851, 19, 23 |
37, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 37 x 19 x 1 = 177859
Therefore, the lowest common multiple of 851,209,253 is 177859.
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.
851 x 209 x 253 = 44998327
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.
851 : 1, 23, 37, 851
209 : 1, 11, 19, 209
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,209,253, is 1.
Now, the common factors can be found like this.
851:23x 37
209:11x 19
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 44998327/(1x253)
LCM = 44998327/253
LCM = 177859
Thus, we can understand that the LCM of 851,209,253 is 177859.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 851, 209, 253?
Answer: LCM of 851, 209, 253 is 177859.
2. How to calculate the LCM of 851, 209, 253?
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 851, 209, 253.
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}.