Least Common Multiple of 903 and 908
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 903 and 908 the smallest integer that is 819924 that is divisible by both numbers.
Least Common Multiple (LCM) of 903 and 908 is 819924.
LCM(903,908) = 819924
LCM of 903 and 908
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 903 and 908 by Prime method
- Least Common Multiple of 903 and 908 with GCF Formula
LCM of 903 and 908 is 819924
Least common multiple can be found by multiplying the highest exponent prime factors of 903 and 908. First we will calculate the prime factors of 903 and 908.
Prime Factorization of 903
| 3 | 903 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 903 are 3, 7,43. Prime factorization of 903 in exponential form is:
903 = 31×71×431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 903 and 908.
LCM(903,908) = 22×31×71×431×2271
LCM(903,908) = 819924
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Least Common Multiple of 903 and 908 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 903 and 908, than apply into the LCM equation.
GCF(903,908) = 1
LCM(903,908) = ( 903 × 908) / 1
LCM(903,908) = 819924 / 1
LCM(903,908) = 819924
Properties of LCM 903 and 908
(i) The LCM of 908 and 903 is associative
LCM of 903 and 908 = LCM of 908 and 903
Related Least Common Multiples of 903
Related Least Common Multiples of 908
Frequently Asked Questions on LCM of 903 and 908
1. What is the LCM of 903 and 908?
Answer: LCM of 903 and 908 is 819924.
2. What are the Factors of 903?
Answer: Factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903. There are 8 integers that are factors of 903. The greatest factor of 903 is 903.
3. 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.
4. How to Find the LCM of 903 and 908?
Answer:
Least Common Multiple of 903 and 908 = 819924
Step 1: Find the prime factorization of 903
903 = 3 x 7 x 43
Step 2: Find the prime factorization of 908
908 = 2 x 2 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 819924 = 2 x 2 x 3 x 7 x 43 x 227
Step 4: Therefore, the least common multiple of 903 and 908 is 819924.
