Least Common Multiple of 899 and 902
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 899 and 902 the smallest integer that is 810898 that is divisible by both numbers.
Least Common Multiple (LCM) of 899 and 902 is 810898.
LCM(899,902) = 810898
LCM of 899 and 902
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 899 and 902 by Prime method
- Least Common Multiple of 899 and 902 with GCF Formula
LCM of 899 and 902 is 810898
Least common multiple can be found by multiplying the highest exponent prime factors of 899 and 902. First we will calculate the prime factors of 899 and 902.
Prime Factorization of 899
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:
899 = 291×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 899 and 902.
LCM(899,902) = 21×111×291×311×411
LCM(899,902) = 810898
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Least Common Multiple of 899 and 902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 899 and 902, than apply into the LCM equation.
GCF(899,902) = 1
LCM(899,902) = ( 899 × 902) / 1
LCM(899,902) = 810898 / 1
LCM(899,902) = 810898
Properties of LCM 899 and 902
(i) The LCM of 902 and 899 is associative
LCM of 899 and 902 = LCM of 902 and 899
Related Least Common Multiples of 899
Related Least Common Multiples of 902
Frequently Asked Questions on LCM of 899 and 902
1. What is the LCM of 899 and 902?
Answer: LCM of 899 and 902 is 810898.
2. What are the Factors of 899?
Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.
3. 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.
4. How to Find the LCM of 899 and 902?
Answer:
Least Common Multiple of 899 and 902 = 810898
Step 1: Find the prime factorization of 899
899 = 29 x 31
Step 2: Find the prime factorization of 902
902 = 2 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 810898 = 2 x 11 x 29 x 31 x 41
Step 4: Therefore, the least common multiple of 899 and 902 is 810898.