Find the LCM of 905, 421, 253, 842 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 905, 421, 253, 842. So, keep reading to learn more.
Given numbers are 905,421,253,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,421,253,842 is 192788530.
Find LCM of 905,421,253,842 with Prime Factorization
421 | 905, 421, 253, 842 |
905, 1, 253, 2 |
Multiply the prime numbers at the bottom and the left side.
421 x 905 x 1 x 253 x 2 = 192788530
Therefore, the lowest common multiple of 905,421,253,842 is 192788530.
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.
905 x 421 x 253 x 842 = 81163971130
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.
905 : 1, 5, 181, 905
421 : 1, 421
253 : 1, 11, 23, 253
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,421,253,842, is 1.
Now, the common factors can be found like this.
905:5x 181
421:421
253:11x 23
842:2x 421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
421 = 421
Therefore, the value for common factors is 421.
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 = 81163971130/(1x421)
LCM = 81163971130/421
LCM = 192788530
Thus, we can understand that the LCM of 905,421,253,842 is 192788530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 905, 421, 253, 842?
Answer: LCM of 905, 421, 253, 842 is 192788530.
2. How to calculate the LCM of 905, 421, 253, 842?
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 905, 421, 253, 842.
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}.