Find the LCM of 274, 629, 473, 473, 409 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 274, 629, 473, 473, 409. So, keep reading to learn more.
Given numbers are 274,629,473,473,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,629,473,473,409 is 33341540122.
Find LCM of 274,629,473,473,409 with Prime Factorization
11 | 274, 629, 473, 473, 409 |
43 | 274, 629, 43, 43, 409 |
274, 629, 1, 1, 409 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 274 x 629 x 1 x 1 x 409 = 33341540122
Therefore, the lowest common multiple of 274,629,473,473,409 is 33341540122.
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.
274 x 629 x 473 x 473 x 409 = 15770548477706
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.
274 : 1, 2, 137, 274
629 : 1, 17, 37, 629
473 : 1, 11, 43, 473
473 : 1, 11, 43, 473
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,629,473,473,409, is 1.
Now, the common factors can be found like this.
274:2x 137
629:17x 37
473:11x 43
473:11x 43
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 43 = 473
Therefore, the value for common factors is 473.
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 = 15770548477706/(1x473)
LCM = 15770548477706/473
LCM = 33341540122
Thus, we can understand that the LCM of 274,629,473,473,409 is 33341540122.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 274, 629, 473, 473, 409?
Answer: LCM of 274, 629, 473, 473, 409 is 33341540122.
2. How to calculate the LCM of 274, 629, 473, 473, 409?
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 274, 629, 473, 473, 409.
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}.