Least Common Multiple of 987 and 990

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 990 the smallest integer that is 325710 that is divisible by both numbers.

Least Common Multiple (LCM) of 987 and 990 is 325710.

LCM(987,990) = 325710

LCM of 987 and 990

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

LCM of:
and

Least Common Multiple of 987 and 990

LCM of 987 and 990 is 325710

Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 990. First we will calculate the prime factors of 987 and 990.

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 990


2 990
3 495
3 165
5 55
11 11
1

Prime factors of 990 are 2, 3, 5,11. Prime factorization of 990 in exponential form is:

990 = 21×32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 990.

LCM(987,990) = 21×32×51×71×111×471
LCM(987,990) = 325710

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 990

List of positive integer factors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Least Common Multiple of 987 and 990 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 990, than apply into the LCM equation.

GCF(987,990) = 3
LCM(987,990) = ( 987 × 990) / 3
LCM(987,990) = 977130 / 3
LCM(987,990) = 325710

Properties of LCM 987 and 990

(i) The LCM of 990 and 987 is associative

LCM of 987 and 990 = LCM of 990 and 987

Related Least Common Multiples of 987

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 987 and 990

1. What is the LCM of 987 and 990?

Answer: LCM of 987 and 990 is 325710.

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 990?

Answer: Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. There are 24 integers that are factors of 990. The greatest factor of 990 is 990.

4. How to Find the LCM of 987 and 990?

Answer:

Least Common Multiple of 987 and 990 = 325710

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

Step 2: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

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

LCM = 325710 = 2 x 3 x 3 x 5 x 7 x 11 x 47

Step 4: Therefore, the least common multiple of 987 and 990 is 325710.