Least Common Multiple of 987 and 992

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 992 the smallest integer that is 979104 that is divisible by both numbers.

Least Common Multiple (LCM) of 987 and 992 is 979104.

LCM(987,992) = 979104

LCM of 987 and 992

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 987 and 992

LCM of 987 and 992 is 979104

Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 992. First we will calculate the prime factors of 987 and 992.

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 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 992.

LCM(987,992) = 25×31×71×311×471
LCM(987,992) = 979104

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 992

List of positive integer factors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Least Common Multiple of 987 and 992 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 992, than apply into the LCM equation.

GCF(987,992) = 1
LCM(987,992) = ( 987 × 992) / 1
LCM(987,992) = 979104 / 1
LCM(987,992) = 979104

Properties of LCM 987 and 992

(i) The LCM of 992 and 987 is associative

LCM of 987 and 992 = LCM of 992 and 987

Related Least Common Multiples of 987

Related Least Common Multiples of 992

Frequently Asked Questions on LCM of 987 and 992

1. What is the LCM of 987 and 992?

Answer: LCM of 987 and 992 is 979104.

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 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

4. How to Find the LCM of 987 and 992?

Answer:

Least Common Multiple of 987 and 992 = 979104

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

Step 2: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 979104 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 31 x 47

Step 4: Therefore, the least common multiple of 987 and 992 is 979104.