Least Common Multiple of 990 and 997

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 997 the smallest integer that is 987030 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 997 is 987030.

LCM(990,997) = 987030

LCM of 990 and 997

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

LCM of:
and

Least Common Multiple of 990 and 997

LCM of 990 and 997 is 987030

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 997. First we will calculate the prime factors of 990 and 997.

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 997


997 997
1

Prime factors of 997 are 997. Prime factorization of 997 in exponential form is:

997 = 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 997.

LCM(990,997) = 21×32×51×111×9971
LCM(990,997) = 987030

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 997

List of positive integer factors of 997 that divides 997 without a remainder.

1, 997

Least Common Multiple of 990 and 997 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 997, than apply into the LCM equation.

GCF(990,997) = 1
LCM(990,997) = ( 990 × 997) / 1
LCM(990,997) = 987030 / 1
LCM(990,997) = 987030

Properties of LCM 990 and 997

(i) The LCM of 997 and 990 is associative

LCM of 990 and 997 = LCM of 997 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 997

Frequently Asked Questions on LCM of 990 and 997

1. What is the LCM of 990 and 997?

Answer: LCM of 990 and 997 is 987030.

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 997?

Answer: Factors of 997 are 1, 997. There are 2 integers that are factors of 997. The greatest factor of 997 is 997.

4. How to Find the LCM of 990 and 997?

Answer:

Least Common Multiple of 990 and 997 = 987030

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 997

997 = 997

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

LCM = 987030 = 2 x 3 x 3 x 5 x 11 x 997

Step 4: Therefore, the least common multiple of 990 and 997 is 987030.