Least Common Multiple of 990 and 998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 990 and 998 the smallest integer that is 494010 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 998 is 494010.

LCM(990,998) = 494010

LCM of 990 and 998

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

LCM of:
and

Least Common Multiple of 990 and 998

LCM of 990 and 998 is 494010

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 998. First we will calculate the prime factors of 990 and 998.

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

Prime Factorization of 998


2 998
499 499
1

Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:

998 = 21×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 998.

LCM(990,998) = 21×32×51×111×4991
LCM(990,998) = 494010

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

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Least Common Multiple of 990 and 998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 990 and 998, than apply into the LCM equation.

GCF(990,998) = 2
LCM(990,998) = ( 990 × 998) / 2
LCM(990,998) = 988020 / 2
LCM(990,998) = 494010

Properties of LCM 990 and 998

(i) The LCM of 998 and 990 is associative

LCM of 990 and 998 = LCM of 998 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 998

Frequently Asked Questions on LCM of 990 and 998

1. What is the LCM of 990 and 998?

Answer: LCM of 990 and 998 is 494010.

2. 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.

3. What are the Factors of 998?

Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.

4. How to Find the LCM of 990 and 998?

Answer:

Least Common Multiple of 990 and 998 = 494010

Step 1: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 998

998 = 2 x 499

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

LCM = 494010 = 2 x 3 x 3 x 5 x 11 x 499

Step 4: Therefore, the least common multiple of 990 and 998 is 494010.