Least Common Multiple of 987 and 994
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 987 and 994 the smallest integer that is 140154 that is divisible by both numbers.
Least Common Multiple (LCM) of 987 and 994 is 140154.
LCM(987,994) = 140154
LCM of 987 and 994
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 987 and 994 by Prime method
- Least Common Multiple of 987 and 994 with GCF Formula
LCM of 987 and 994 is 140154
Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 994. First we will calculate the prime factors of 987 and 994.
Prime Factorization of 987
| 3 | 987 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 987 are 3, 7,47. Prime factorization of 987 in exponential form is:
987 = 31×71×471
Prime Factorization of 994
| 2 | 994 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 994 are 2, 7,71. Prime factorization of 994 in exponential form is:
994 = 21×71×711
Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 994.
LCM(987,994) = 21×31×71×471×711
LCM(987,994) = 140154
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Least Common Multiple of 987 and 994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 987 and 994, than apply into the LCM equation.
GCF(987,994) = 7
LCM(987,994) = ( 987 × 994) / 7
LCM(987,994) = 981078 / 7
LCM(987,994) = 140154
Properties of LCM 987 and 994
(i) The LCM of 994 and 987 is associative
LCM of 987 and 994 = LCM of 994 and 987
Related Least Common Multiples of 987
Related Least Common Multiples of 994
Frequently Asked Questions on LCM of 987 and 994
1. What is the LCM of 987 and 994?
Answer: LCM of 987 and 994 is 140154.
2. What are the Factors of 987?
Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.
3. What are the Factors of 994?
Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.
4. How to Find the LCM of 987 and 994?
Answer:
Least Common Multiple of 987 and 994 = 140154
Step 1: Find the prime factorization of 987
987 = 3 x 7 x 47
Step 2: Find the prime factorization of 994
994 = 2 x 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 140154 = 2 x 3 x 7 x 47 x 71
Step 4: Therefore, the least common multiple of 987 and 994 is 140154.
