Find the LCM of 428, 293, 841, 783 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 428, 293, 841, 783. So, keep reading to learn more.
Given numbers are 428,293,841,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,293,841,783 is 2847548628.
Find LCM of 428,293,841,783 with Prime Factorization
29 | 428, 293, 841, 783 |
428, 293, 29, 27 |
Multiply the prime numbers at the bottom and the left side.
29 x 428 x 293 x 29 x 27 = 2847548628
Therefore, the lowest common multiple of 428,293,841,783 is 2847548628.
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.
428 x 293 x 841 x 783 = 82578910212
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.
428 : 1, 2, 4, 107, 214, 428
293 : 1, 293
841 : 1, 29, 841
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,293,841,783, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
293:293
841:29x 29
783:3x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 82578910212/(1x29)
LCM = 82578910212/29
LCM = 2847548628
Thus, we can understand that the LCM of 428,293,841,783 is 2847548628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 293, 841, 783?
Answer: LCM of 428, 293, 841, 783 is 2847548628.
2. How to calculate the LCM of 428, 293, 841, 783?
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 428, 293, 841, 783.
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}.