Find the LCM of 890, 271, 460, 764, 167 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 890, 271, 460, 764, 167. So, keep reading to learn more.
Given numbers are 890,271,460,764,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,271,460,764,167 is 353888921780.
Find LCM of 890,271,460,764,167 with Prime Factorization
2 | 890, 271, 460, 764, 167 |
2 | 445, 271, 230, 382, 167 |
5 | 445, 271, 115, 191, 167 |
89, 271, 23, 191, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 89 x 271 x 23 x 191 x 167 = 353888921780
Therefore, the lowest common multiple of 890,271,460,764,167 is 353888921780.
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.
890 x 271 x 460 x 764 x 167 = 14155556871200
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
271 : 1, 271
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
764 : 1, 2, 4, 191, 382, 764
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,271,460,764,167, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
271:271
460:2x 2x 5x 23
764:2x 2x 191
167:167
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 5 = 40
Therefore, the value for common factors is 40.
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 = 14155556871200/(1x40)
LCM = 14155556871200/40
LCM = 353888921780
Thus, we can understand that the LCM of 890,271,460,764,167 is 353888921780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 890, 271, 460, 764, 167?
Answer: LCM of 890, 271, 460, 764, 167 is 353888921780.
2. How to calculate the LCM of 890, 271, 460, 764, 167?
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 890, 271, 460, 764, 167.
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}.