Find the LCM of 484, 597, 556, 486, 942 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 484, 597, 556, 486, 942. So, keep reading to learn more.
Given numbers are 484,597,556,486,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,597,556,486,942 is 510762688524.
Find LCM of 484,597,556,486,942 with Prime Factorization
2 | 484, 597, 556, 486, 942 |
2 | 242, 597, 278, 243, 471 |
3 | 121, 597, 139, 243, 471 |
121, 199, 139, 81, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 199 x 139 x 81 x 157 = 510762688524
Therefore, the lowest common multiple of 484,597,556,486,942 is 510762688524.
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.
484 x 597 x 556 x 486 x 942 = 73549827147456
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
597 : 1, 3, 199, 597
556 : 1, 2, 4, 139, 278, 556
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,597,556,486,942, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
597:3x 199
556:2x 2x 139
486:2x 3x 3x 3x 3x 3
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 73549827147456/(1x144)
LCM = 73549827147456/144
LCM = 510762688524
Thus, we can understand that the LCM of 484,597,556,486,942 is 510762688524.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 597, 556, 486, 942?
Answer: LCM of 484, 597, 556, 486, 942 is 510762688524.
2. How to calculate the LCM of 484, 597, 556, 486, 942?
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 484, 597, 556, 486, 942.
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}.