Find the LCM of 548, 475, 364, 108, 849 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, 475, 364, 108, 849. So, keep reading to learn more.
Given numbers are 548,475,364,108,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,475,364,108,849 is 180994659300.
Find LCM of 548,475,364,108,849 with Prime Factorization
2 | 548, 475, 364, 108, 849 |
2 | 274, 475, 182, 54, 849 |
3 | 137, 475, 91, 27, 849 |
137, 475, 91, 9, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 475 x 91 x 9 x 283 = 180994659300
Therefore, the lowest common multiple of 548,475,364,108,849 is 180994659300.
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 475 x 364 x 108 x 849 = 8687743646400
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
475 : 1, 5, 19, 25, 95, 475
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,475,364,108,849, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
475:5x 5x 19
364:2x 2x 7x 13
108:2x 2x 3x 3x 3
849:3x 283
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 3 = 48
Therefore, the value for common factors is 48.
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 = 8687743646400/(1x48)
LCM = 8687743646400/48
LCM = 180994659300
Thus, we can understand that the LCM of 548,475,364,108,849 is 180994659300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 548, 475, 364, 108, 849?
Answer: LCM of 548, 475, 364, 108, 849 is 180994659300.
2. How to calculate the LCM of 548, 475, 364, 108, 849?
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, 475, 364, 108, 849.
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}.