Find the LCM of 406, 571, 946, 244 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 406, 571, 946, 244. So, keep reading to learn more.
Given numbers are 406,571,946,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,571,946,244 is 13377751156.
Find LCM of 406,571,946,244 with Prime Factorization
2 | 406, 571, 946, 244 |
203, 571, 473, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 203 x 571 x 473 x 122 = 13377751156
Therefore, the lowest common multiple of 406,571,946,244 is 13377751156.
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.
406 x 571 x 946 x 244 = 53511004624
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
571 : 1, 571
946 : 1, 2, 11, 22, 43, 86, 473, 946
244 : 1, 2, 4, 61, 122, 244
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,571,946,244, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
571:571
946:2x 11x 43
244:2x 2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 53511004624/(1x4)
LCM = 53511004624/4
LCM = 13377751156
Thus, we can understand that the LCM of 406,571,946,244 is 13377751156.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 406, 571, 946, 244?
Answer: LCM of 406, 571, 946, 244 is 13377751156.
2. How to calculate the LCM of 406, 571, 946, 244?
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 406, 571, 946, 244.
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}.