Find the LCM of 305, 572, 871, 921, 683 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 305, 572, 871, 921, 683. So, keep reading to learn more.
Given numbers are 305,572,871,921,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,572,871,921,683 is 7352770399260.
Find LCM of 305,572,871,921,683 with Prime Factorization
13 | 305, 572, 871, 921, 683 |
305, 44, 67, 921, 683 |
Multiply the prime numbers at the bottom and the left side.
13 x 305 x 44 x 67 x 921 x 683 = 7352770399260
Therefore, the lowest common multiple of 305,572,871,921,683 is 7352770399260.
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.
305 x 572 x 871 x 921 x 683 = 95586015190380
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.
305 : 1, 5, 61, 305
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
871 : 1, 13, 67, 871
921 : 1, 3, 307, 921
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,572,871,921,683, is 1.
Now, the common factors can be found like this.
305:5x 61
572:2x 2x 11x 13
871:13x 67
921:3x 307
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 95586015190380/(1x13)
LCM = 95586015190380/13
LCM = 7352770399260
Thus, we can understand that the LCM of 305,572,871,921,683 is 7352770399260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 305, 572, 871, 921, 683?
Answer: LCM of 305, 572, 871, 921, 683 is 7352770399260.
2. How to calculate the LCM of 305, 572, 871, 921, 683?
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 305, 572, 871, 921, 683.
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}.