Least Common Multiple of 902 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 902 and 905 the smallest integer that is 816310 that is divisible by both numbers.
Least Common Multiple (LCM) of 902 and 905 is 816310.
LCM(902,905) = 816310
LCM of 902 and 905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 902 and 905 by Prime method
- Least Common Multiple of 902 and 905 with GCF Formula
LCM of 902 and 905 is 816310
Least common multiple can be found by multiplying the highest exponent prime factors of 902 and 905. First we will calculate the prime factors of 902 and 905.
Prime Factorization of 902
| 2 | 902 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 902 are 2, 11,41. Prime factorization of 902 in exponential form is:
902 = 21×111×411
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 902 and 905.
LCM(902,905) = 21×51×111×411×1811
LCM(902,905) = 816310
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Least Common Multiple of 902 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 902 and 905, than apply into the LCM equation.
GCF(902,905) = 1
LCM(902,905) = ( 902 × 905) / 1
LCM(902,905) = 816310 / 1
LCM(902,905) = 816310
Properties of LCM 902 and 905
(i) The LCM of 905 and 902 is associative
LCM of 902 and 905 = LCM of 905 and 902
Related Least Common Multiples of 902
Related Least Common Multiples of 905
Frequently Asked Questions on LCM of 902 and 905
1. What is the LCM of 902 and 905?
Answer: LCM of 902 and 905 is 816310.
2. What are the Factors of 902?
Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.
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 902 and 905?
Answer:
Least Common Multiple of 902 and 905 = 816310
Step 1: Find the prime factorization of 902
902 = 2 x 11 x 41
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 = 816310 = 2 x 5 x 11 x 41 x 181
Step 4: Therefore, the least common multiple of 902 and 905 is 816310.
