Find the LCM of 577, 446, 412, 771 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 577, 446, 412, 771. So, keep reading to learn more.
Given numbers are 577,446,412,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,446,412,771 is 40872600492.
Find LCM of 577,446,412,771 with Prime Factorization
2 | 577, 446, 412, 771 |
577, 223, 206, 771 |
Multiply the prime numbers at the bottom and the left side.
2 x 577 x 223 x 206 x 771 = 40872600492
Therefore, the lowest common multiple of 577,446,412,771 is 40872600492.
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.
577 x 446 x 412 x 771 = 81745200984
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.
577 : 1, 577
446 : 1, 2, 223, 446
412 : 1, 2, 4, 103, 206, 412
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,446,412,771, is 1.
Now, the common factors can be found like this.
577:577
446:2x 223
412:2x 2x 103
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 81745200984/(1x2)
LCM = 81745200984/2
LCM = 40872600492
Thus, we can understand that the LCM of 577,446,412,771 is 40872600492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 446, 412, 771?
Answer: LCM of 577, 446, 412, 771 is 40872600492.
2. How to calculate the LCM of 577, 446, 412, 771?
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 577, 446, 412, 771.
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}.