Least Common Multiple of 990 and 994

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 994 the smallest integer that is 492030 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 994 is 492030.

LCM(990,994) = 492030

LCM of 990 and 994

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

LCM of:
and

Least Common Multiple of 990 and 994

LCM of 990 and 994 is 492030

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 994. First we will calculate the prime factors of 990 and 994.

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 994


2 994
7 497
71 71
1

Prime factors of 994 are 2, 7,71. Prime factorization of 994 in exponential form is:

994 = 21×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 994.

LCM(990,994) = 21×32×51×71×111×711
LCM(990,994) = 492030

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 994

List of positive integer factors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Least Common Multiple of 990 and 994 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 994, than apply into the LCM equation.

GCF(990,994) = 2
LCM(990,994) = ( 990 × 994) / 2
LCM(990,994) = 984060 / 2
LCM(990,994) = 492030

Properties of LCM 990 and 994

(i) The LCM of 994 and 990 is associative

LCM of 990 and 994 = LCM of 994 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 994

Frequently Asked Questions on LCM of 990 and 994

1. What is the LCM of 990 and 994?

Answer: LCM of 990 and 994 is 492030.

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 994?

Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.

4. How to Find the LCM of 990 and 994?

Answer:

Least Common Multiple of 990 and 994 = 492030

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 994

994 = 2 x 7 x 71

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

LCM = 492030 = 2 x 3 x 3 x 5 x 7 x 11 x 71

Step 4: Therefore, the least common multiple of 990 and 994 is 492030.