Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 894 and 902 the smallest integer that is 403194 that is divisible by both numbers.
Least Common Multiple (LCM) of 894 and 902 is 403194.
LCM(894,902) = 403194
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 894 and 902. First we will calculate the prime factors of 894 and 902.
Prime Factorization of 894
2 | 894 |
3 | 447 |
149 | 149 |
1 |
Prime factors of 894 are 2, 3,149. Prime factorization of 894 in exponential form is:
894 = 21×31×1491
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 894 and 902.
LCM(894,902) = 21×31×111×411×1491
LCM(894,902) = 403194
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
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 894 and 902, than apply into the LCM equation.
GCF(894,902) = 2
LCM(894,902) = ( 894 × 902) / 2
LCM(894,902) = 806388 / 2
LCM(894,902) = 403194
(i) The LCM of 902 and 894 is associative
LCM of 894 and 902 = LCM of 902 and 894
1. What is the LCM of 894 and 902?
Answer: LCM of 894 and 902 is 403194.
2. What are the Factors of 894?
Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.
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 894 and 902?
Answer:
Least Common Multiple of 894 and 902 = 403194
Step 1: Find the prime factorization of 894
894 = 2 x 3 x 149
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 = 403194 = 2 x 3 x 11 x 41 x 149
Step 4: Therefore, the least common multiple of 894 and 902 is 403194.