Find the LCM of 271, 221, 421, 862, 860 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 271, 221, 421, 862, 860. So, keep reading to learn more.
Given numbers are 271,221,421,862,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,221,421,862,860 is 9345862383260.
Find LCM of 271,221,421,862,860 with Prime Factorization
2 | 271, 221, 421, 862, 860 |
271, 221, 421, 431, 430 |
Multiply the prime numbers at the bottom and the left side.
2 x 271 x 221 x 421 x 431 x 430 = 9345862383260
Therefore, the lowest common multiple of 271,221,421,862,860 is 9345862383260.
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.
271 x 221 x 421 x 862 x 860 = 18691724766520
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.
271 : 1, 271
221 : 1, 13, 17, 221
421 : 1, 421
862 : 1, 2, 431, 862
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,221,421,862,860, is 1.
Now, the common factors can be found like this.
271:271
221:13x 17
421:421
862:2x 431
860:2x 2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 18691724766520/(1x2)
LCM = 18691724766520/2
LCM = 9345862383260
Thus, we can understand that the LCM of 271,221,421,862,860 is 9345862383260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 271, 221, 421, 862, 860?
Answer: LCM of 271, 221, 421, 862, 860 is 9345862383260.
2. How to calculate the LCM of 271, 221, 421, 862, 860?
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 271, 221, 421, 862, 860.
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}.