Find the LCM of 380, 381, 649, 762, 842 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 380, 381, 649, 762, 842. So, keep reading to learn more.
Given numbers are 380,381,649,762,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,381,649,762,842 is 39558094620.
Find LCM of 380,381,649,762,842 with Prime Factorization
2 | 380, 381, 649, 762, 842 |
3 | 190, 381, 649, 381, 421 |
127 | 190, 127, 649, 127, 421 |
190, 1, 649, 1, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 190 x 1 x 649 x 1 x 421 = 39558094620
Therefore, the lowest common multiple of 380,381,649,762,842 is 39558094620.
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.
380 x 381 x 649 x 762 x 842 = 60286536200880
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
381 : 1, 3, 127, 381
649 : 1, 11, 59, 649
762 : 1, 2, 3, 6, 127, 254, 381, 762
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,381,649,762,842, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
381:3x 127
649:11x 59
762:2x 3x 127
842:2x 421
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 3x 127 = 1524
Therefore, the value for common factors is 1524.
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 = 60286536200880/(1x1524)
LCM = 60286536200880/1524
LCM = 39558094620
Thus, we can understand that the LCM of 380,381,649,762,842 is 39558094620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 381, 649, 762, 842?
Answer: LCM of 380, 381, 649, 762, 842 is 39558094620.
2. How to calculate the LCM of 380, 381, 649, 762, 842?
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 380, 381, 649, 762, 842.
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}.