Find the LCM of 928, 131, 319, 203 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 928, 131, 319, 203. So, keep reading to learn more.
Given numbers are 928,131,319,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,131,319,203 is 9360736.
Find LCM of 928,131,319,203 with Prime Factorization
29 | 928, 131, 319, 203 |
32, 131, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
29 x 32 x 131 x 11 x 7 = 9360736
Therefore, the lowest common multiple of 928,131,319,203 is 9360736.
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.
928 x 131 x 319 x 203 = 7872378976
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
131 : 1, 131
319 : 1, 11, 29, 319
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,131,319,203, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
131:131
319:11x 29
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 29 = 841
Therefore, the value for common factors is 841.
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 = 7872378976/(1x841)
LCM = 7872378976/841
LCM = 9360736
Thus, we can understand that the LCM of 928,131,319,203 is 9360736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 131, 319, 203?
Answer: LCM of 928, 131, 319, 203 is 9360736.
2. How to calculate the LCM of 928, 131, 319, 203?
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 928, 131, 319, 203.
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}.