Least Common Multiple of 990 and 996

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 996 the smallest integer that is 164340 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 996 is 164340.

LCM(990,996) = 164340

LCM of 990 and 996

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

LCM of:
and

Least Common Multiple of 990 and 996

LCM of 990 and 996 is 164340

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 996. First we will calculate the prime factors of 990 and 996.

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 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2, 3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 996.

LCM(990,996) = 22×32×51×111×831
LCM(990,996) = 164340

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 996

List of positive integer factors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Least Common Multiple of 990 and 996 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 996, than apply into the LCM equation.

GCF(990,996) = 6
LCM(990,996) = ( 990 × 996) / 6
LCM(990,996) = 986040 / 6
LCM(990,996) = 164340

Properties of LCM 990 and 996

(i) The LCM of 996 and 990 is associative

LCM of 990 and 996 = LCM of 996 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 996

Frequently Asked Questions on LCM of 990 and 996

1. What is the LCM of 990 and 996?

Answer: LCM of 990 and 996 is 164340.

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 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

4. How to Find the LCM of 990 and 996?

Answer:

Least Common Multiple of 990 and 996 = 164340

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 996

996 = 2 x 2 x 3 x 83

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

LCM = 164340 = 2 x 2 x 3 x 3 x 5 x 11 x 83

Step 4: Therefore, the least common multiple of 990 and 996 is 164340.