Find the LCM of 685, 851, 381, 978, 890 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 685, 851, 381, 978, 890. So, keep reading to learn more.
Given numbers are 685,851,381,978,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,851,381,978,890 is 6443958190290.
Find LCM of 685,851,381,978,890 with Prime Factorization
2 | 685, 851, 381, 978, 890 |
3 | 685, 851, 381, 489, 445 |
5 | 685, 851, 127, 163, 445 |
137, 851, 127, 163, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 137 x 851 x 127 x 163 x 89 = 6443958190290
Therefore, the lowest common multiple of 685,851,381,978,890 is 6443958190290.
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.
685 x 851 x 381 x 978 x 890 = 193318745708700
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.
685 : 1, 5, 137, 685
851 : 1, 23, 37, 851
381 : 1, 3, 127, 381
978 : 1, 2, 3, 6, 163, 326, 489, 978
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,851,381,978,890, is 1.
Now, the common factors can be found like this.
685:5x 137
851:23x 37
381:3x 127
978:2x 3x 163
890:2x 5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 193318745708700/(1x30)
LCM = 193318745708700/30
LCM = 6443958190290
Thus, we can understand that the LCM of 685,851,381,978,890 is 6443958190290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 851, 381, 978, 890?
Answer: LCM of 685, 851, 381, 978, 890 is 6443958190290.
2. How to calculate the LCM of 685, 851, 381, 978, 890?
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 685, 851, 381, 978, 890.
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}.