Least Common Multiple of 987 and 995
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 995 the smallest integer that is 982065 that is divisible by both numbers.
Least Common Multiple (LCM) of 987 and 995 is 982065.
LCM(987,995) = 982065
LCM of 987 and 995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 987 and 995 by Prime method
- Least Common Multiple of 987 and 995 with GCF Formula
LCM of 987 and 995 is 982065
Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 995. First we will calculate the prime factors of 987 and 995.
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 995
| 5 | 995 |
| 199 | 199 |
| 1 |
Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:
995 = 51×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 995.
LCM(987,995) = 31×51×71×471×1991
LCM(987,995) = 982065
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 995
List of positive integer factors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Least Common Multiple of 987 and 995 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 995, than apply into the LCM equation.
GCF(987,995) = 1
LCM(987,995) = ( 987 × 995) / 1
LCM(987,995) = 982065 / 1
LCM(987,995) = 982065
Properties of LCM 987 and 995
(i) The LCM of 995 and 987 is associative
LCM of 987 and 995 = LCM of 995 and 987
Related Least Common Multiples of 987
Related Least Common Multiples of 995
Frequently Asked Questions on LCM of 987 and 995
1. What is the LCM of 987 and 995?
Answer: LCM of 987 and 995 is 982065.
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 995?
Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.
4. How to Find the LCM of 987 and 995?
Answer:
Least Common Multiple of 987 and 995 = 982065
Step 1: Find the prime factorization of 987
987 = 3 x 7 x 47
Step 2: Find the prime factorization of 995
995 = 5 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 982065 = 3 x 5 x 7 x 47 x 199
Step 4: Therefore, the least common multiple of 987 and 995 is 982065.
