Find the LCM of 577, 663, 561, 921 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, 663, 561, 921. So, keep reading to learn more.
Given numbers are 577,663,561,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,663,561,921 is 1291874727.
Find LCM of 577,663,561,921 with Prime Factorization
3 | 577, 663, 561, 921 |
17 | 577, 221, 187, 307 |
577, 13, 11, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 577 x 13 x 11 x 307 = 1291874727
Therefore, the lowest common multiple of 577,663,561,921 is 1291874727.
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 663 x 561 x 921 = 197656833231
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
663 : 1, 3, 13, 17, 39, 51, 221, 663
561 : 1, 3, 11, 17, 33, 51, 187, 561
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,663,561,921, is 1.
Now, the common factors can be found like this.
577:577
663:3x 13x 17
561:3x 11x 17
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 197656833231/(1x153)
LCM = 197656833231/153
LCM = 1291874727
Thus, we can understand that the LCM of 577,663,561,921 is 1291874727.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 663, 561, 921?
Answer: LCM of 577, 663, 561, 921 is 1291874727.
2. How to calculate the LCM of 577, 663, 561, 921?
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, 663, 561, 921.
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}.