Least Common Multiple of 990 and 992

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 992 the smallest integer that is 491040 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 992 is 491040.

LCM(990,992) = 491040

LCM of 990 and 992

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

LCM of:
and

Least Common Multiple of 990 and 992

LCM of 990 and 992 is 491040

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 992. First we will calculate the prime factors of 990 and 992.

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 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 992.

LCM(990,992) = 25×32×51×111×311
LCM(990,992) = 491040

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 992

List of positive integer factors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Least Common Multiple of 990 and 992 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 992, than apply into the LCM equation.

GCF(990,992) = 2
LCM(990,992) = ( 990 × 992) / 2
LCM(990,992) = 982080 / 2
LCM(990,992) = 491040

Properties of LCM 990 and 992

(i) The LCM of 992 and 990 is associative

LCM of 990 and 992 = LCM of 992 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 992

Frequently Asked Questions on LCM of 990 and 992

1. What is the LCM of 990 and 992?

Answer: LCM of 990 and 992 is 491040.

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 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

4. How to Find the LCM of 990 and 992?

Answer:

Least Common Multiple of 990 and 992 = 491040

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 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 491040 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 31

Step 4: Therefore, the least common multiple of 990 and 992 is 491040.