Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 897 and 902 the smallest integer that is 809094 that is divisible by both numbers.
Least Common Multiple (LCM) of 897 and 902 is 809094.
LCM(897,902) = 809094
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 897 and 902. First we will calculate the prime factors of 897 and 902.
Prime Factorization of 897
3 | 897 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 897 are 3, 13,23. Prime factorization of 897 in exponential form is:
897 = 31×131×231
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 897 and 902.
LCM(897,902) = 21×31×111×131×231×411
LCM(897,902) = 809094
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 897 and 902, than apply into the LCM equation.
GCF(897,902) = 1
LCM(897,902) = ( 897 × 902) / 1
LCM(897,902) = 809094 / 1
LCM(897,902) = 809094
(i) The LCM of 902 and 897 is associative
LCM of 897 and 902 = LCM of 902 and 897
1. What is the LCM of 897 and 902?
Answer: LCM of 897 and 902 is 809094.
2. What are the Factors of 897?
Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.
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 897 and 902?
Answer:
Least Common Multiple of 897 and 902 = 809094
Step 1: Find the prime factorization of 897
897 = 3 x 13 x 23
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 = 809094 = 2 x 3 x 11 x 13 x 23 x 41
Step 4: Therefore, the least common multiple of 897 and 902 is 809094.