Find the LCM of 548, 891, 856, 624, 542 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 548, 891, 856, 624, 542. So, keep reading to learn more.
Given numbers are 548,891,856,624,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,891,856,624,542 is 736231974192.
Find LCM of 548,891,856,624,542 with Prime Factorization
2 | 548, 891, 856, 624, 542 |
2 | 274, 891, 428, 312, 271 |
2 | 137, 891, 214, 156, 271 |
3 | 137, 891, 107, 78, 271 |
137, 297, 107, 26, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 137 x 297 x 107 x 26 x 271 = 736231974192
Therefore, the lowest common multiple of 548,891,856,624,542 is 736231974192.
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.
548 x 891 x 856 x 624 x 542 = 141356539044864
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.
548 : 1, 2, 4, 137, 274, 548
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
856 : 1, 2, 4, 8, 107, 214, 428, 856
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,891,856,624,542, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
891:3x 3x 3x 3x 11
856:2x 2x 2x 107
624:2x 2x 2x 2x 3x 13
542:2x 271
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 141356539044864/(1x192)
LCM = 141356539044864/192
LCM = 736231974192
Thus, we can understand that the LCM of 548,891,856,624,542 is 736231974192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 548, 891, 856, 624, 542?
Answer: LCM of 548, 891, 856, 624, 542 is 736231974192.
2. How to calculate the LCM of 548, 891, 856, 624, 542?
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 548, 891, 856, 624, 542.
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}.