Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 908 and 911 the smallest integer that is 827188 that is divisible by both numbers.
Least Common Multiple (LCM) of 908 and 911 is 827188.
LCM(908,911) = 827188
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 908 and 911. First we will calculate the prime factors of 908 and 911.
Prime Factorization of 908
2 | 908 |
2 | 454 |
227 | 227 |
1 |
Prime factors of 908 are 2,227. Prime factorization of 908 in exponential form is:
908 = 22×2271
Prime Factorization of 911
911 | 911 |
1 |
Prime factors of 911 are 911. Prime factorization of 911 in exponential form is:
911 = 9111
Now multiplying the highest exponent prime factors to calculate the LCM of 908 and 911.
LCM(908,911) = 22×2271×9111
LCM(908,911) = 827188
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1, 911
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 908 and 911, than apply into the LCM equation.
GCF(908,911) = 1
LCM(908,911) = ( 908 × 911) / 1
LCM(908,911) = 827188 / 1
LCM(908,911) = 827188
(i) The LCM of 911 and 908 is associative
LCM of 908 and 911 = LCM of 911 and 908
1. What is the LCM of 908 and 911?
Answer: LCM of 908 and 911 is 827188.
2. What are the Factors of 908?
Answer: Factors of 908 are 1, 2, 4, 227, 454, 908. There are 6 integers that are factors of 908. The greatest factor of 908 is 908.
3. What are the Factors of 911?
Answer: Factors of 911 are 1, 911. There are 2 integers that are factors of 911. The greatest factor of 911 is 911.
4. How to Find the LCM of 908 and 911?
Answer:
Least Common Multiple of 908 and 911 = 827188
Step 1: Find the prime factorization of 908
908 = 2 x 2 x 227
Step 2: Find the prime factorization of 911
911 = 911
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 827188 = 2 x 2 x 227 x 911
Step 4: Therefore, the least common multiple of 908 and 911 is 827188.