Find the LCM of 261, 813, 409, 271, 347 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 261, 813, 409, 271, 347. So, keep reading to learn more.
Given numbers are 261,813,409,271,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,813,409,271,347 is 10038355713.
Find LCM of 261,813,409,271,347 with Prime Factorization
3 | 261, 813, 409, 271, 347 |
271 | 87, 271, 409, 271, 347 |
87, 1, 409, 1, 347 |
Multiply the prime numbers at the bottom and the left side.
3 x 271 x 87 x 1 x 409 x 1 x 347 = 10038355713
Therefore, the lowest common multiple of 261,813,409,271,347 is 10038355713.
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.
261 x 813 x 409 x 271 x 347 = 8161183194669
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.
261 : 1, 3, 9, 29, 87, 261
813 : 1, 3, 271, 813
409 : 1, 409
271 : 1, 271
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,813,409,271,347, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
813:3x 271
409:409
271:271
347:347
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 271 = 813
Therefore, the value for common factors is 813.
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 = 8161183194669/(1x813)
LCM = 8161183194669/813
LCM = 10038355713
Thus, we can understand that the LCM of 261,813,409,271,347 is 10038355713.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 261, 813, 409, 271, 347?
Answer: LCM of 261, 813, 409, 271, 347 is 10038355713.
2. How to calculate the LCM of 261, 813, 409, 271, 347?
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 261, 813, 409, 271, 347.
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}.