Least Common Multiple of 990 and 995

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 995 the smallest integer that is 197010 that is divisible by both numbers.

Least Common Multiple (LCM) of 990 and 995 is 197010.

LCM(990,995) = 197010

LCM of 990 and 995

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

LCM of:
and

Least Common Multiple of 990 and 995

LCM of 990 and 995 is 197010

Least common multiple can be found by multiplying the highest exponent prime factors of 990 and 995. First we will calculate the prime factors of 990 and 995.

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 995


5 995
199 199
1

Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:

995 = 51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 990 and 995.

LCM(990,995) = 21×32×51×111×1991
LCM(990,995) = 197010

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 995

List of positive integer factors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Least Common Multiple of 990 and 995 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 995, than apply into the LCM equation.

GCF(990,995) = 5
LCM(990,995) = ( 990 × 995) / 5
LCM(990,995) = 985050 / 5
LCM(990,995) = 197010

Properties of LCM 990 and 995

(i) The LCM of 995 and 990 is associative

LCM of 990 and 995 = LCM of 995 and 990

Related Least Common Multiples of 990

Related Least Common Multiples of 995

Frequently Asked Questions on LCM of 990 and 995

1. What is the LCM of 990 and 995?

Answer: LCM of 990 and 995 is 197010.

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 995?

Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.

4. How to Find the LCM of 990 and 995?

Answer:

Least Common Multiple of 990 and 995 = 197010

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 995

995 = 5 x 199

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

LCM = 197010 = 2 x 3 x 3 x 5 x 11 x 199

Step 4: Therefore, the least common multiple of 990 and 995 is 197010.