Least Common Multiple of 903 and 910
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 910 the smallest integer that is 117390 that is divisible by both numbers.
Least Common Multiple (LCM) of 903 and 910 is 117390.
LCM(903,910) = 117390
LCM of 903 and 910
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 903 and 910 by Prime method
- Least Common Multiple of 903 and 910 with GCF Formula
LCM of 903 and 910 is 117390
Least common multiple can be found by multiplying the highest exponent prime factors of 903 and 910. First we will calculate the prime factors of 903 and 910.
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 910
| 2 | 910 |
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 910 are 2, 5, 7,13. Prime factorization of 910 in exponential form is:
910 = 21×51×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 903 and 910.
LCM(903,910) = 21×31×51×71×131×431
LCM(903,910) = 117390
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 910
List of positive integer factors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Least Common Multiple of 903 and 910 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 910, than apply into the LCM equation.
GCF(903,910) = 7
LCM(903,910) = ( 903 × 910) / 7
LCM(903,910) = 821730 / 7
LCM(903,910) = 117390
Properties of LCM 903 and 910
(i) The LCM of 910 and 903 is associative
LCM of 903 and 910 = LCM of 910 and 903
Related Least Common Multiples of 903
Related Least Common Multiples of 910
Frequently Asked Questions on LCM of 903 and 910
1. What is the LCM of 903 and 910?
Answer: LCM of 903 and 910 is 117390.
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 910?
Answer: Factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910. There are 16 integers that are factors of 910. The greatest factor of 910 is 910.
4. How to Find the LCM of 903 and 910?
Answer:
Least Common Multiple of 903 and 910 = 117390
Step 1: Find the prime factorization of 903
903 = 3 x 7 x 43
Step 2: Find the prime factorization of 910
910 = 2 x 5 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 117390 = 2 x 3 x 5 x 7 x 13 x 43
Step 4: Therefore, the least common multiple of 903 and 910 is 117390.