Least Common Multiple of 903 and 905
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 905 the smallest integer that is 817215 that is divisible by both numbers.
Least Common Multiple (LCM) of 903 and 905 is 817215.
LCM(903,905) = 817215
LCM of 903 and 905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 903 and 905 by Prime method
- Least Common Multiple of 903 and 905 with GCF Formula
LCM of 903 and 905 is 817215
Least common multiple can be found by multiplying the highest exponent prime factors of 903 and 905. First we will calculate the prime factors of 903 and 905.
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 905
| 5 | 905 |
| 181 | 181 |
| 1 |
Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:
905 = 51×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 903 and 905.
LCM(903,905) = 31×51×71×431×1811
LCM(903,905) = 817215
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 905
List of positive integer factors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Least Common Multiple of 903 and 905 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 905, than apply into the LCM equation.
GCF(903,905) = 1
LCM(903,905) = ( 903 × 905) / 1
LCM(903,905) = 817215 / 1
LCM(903,905) = 817215
Properties of LCM 903 and 905
(i) The LCM of 905 and 903 is associative
LCM of 903 and 905 = LCM of 905 and 903
Related Least Common Multiples of 903
Related Least Common Multiples of 905
Frequently Asked Questions on LCM of 903 and 905
1. What is the LCM of 903 and 905?
Answer: LCM of 903 and 905 is 817215.
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 905?
Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.
4. How to Find the LCM of 903 and 905?
Answer:
Least Common Multiple of 903 and 905 = 817215
Step 1: Find the prime factorization of 903
903 = 3 x 7 x 43
Step 2: Find the prime factorization of 905
905 = 5 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 817215 = 3 x 5 x 7 x 43 x 181
Step 4: Therefore, the least common multiple of 903 and 905 is 817215.
