Least Common Multiple of 988 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 988 and 990 the smallest integer that is 489060 that is divisible by both numbers.

Least Common Multiple (LCM) of 988 and 990 is 489060.

LCM(988,990) = 489060

LCM of 988 and 990

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

LCM of:
and

Least Common Multiple of 988 and 990

LCM of 988 and 990 is 489060

Least common multiple can be found by multiplying the highest exponent prime factors of 988 and 990. First we will calculate the prime factors of 988 and 990.

Prime Factorization of 988


2 988
2 494
13 247
19 19
1

Prime factors of 988 are 2, 13,19. Prime factorization of 988 in exponential form is:

988 = 22×131×191

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 988 and 990.

LCM(988,990) = 22×32×51×111×131×191
LCM(988,990) = 489060

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 988 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 988 and 990, than apply into the LCM equation.

GCF(988,990) = 2
LCM(988,990) = ( 988 × 990) / 2
LCM(988,990) = 978120 / 2
LCM(988,990) = 489060

Properties of LCM 988 and 990

(i) The LCM of 990 and 988 is associative

LCM of 988 and 990 = LCM of 990 and 988

Related Least Common Multiples of 988

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 988 and 990

1. What is the LCM of 988 and 990?

Answer: LCM of 988 and 990 is 489060.

2. What are the Factors of 988?

Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.

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 988 and 990?

Answer:

Least Common Multiple of 988 and 990 = 489060

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

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 = 489060 = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 988 and 990 is 489060.