Least Common Multiple of 984 and 990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 984 and 990 the smallest integer that is 162360 that is divisible by both numbers.

Least Common Multiple (LCM) of 984 and 990 is 162360.

LCM(984,990) = 162360

LCM of 984 and 990

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

LCM of:
and

Least Common Multiple of 984 and 990

LCM of 984 and 990 is 162360

Least common multiple can be found by multiplying the highest exponent prime factors of 984 and 990. First we will calculate the prime factors of 984 and 990.

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2, 3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 984 and 990.

LCM(984,990) = 23×32×51×111×411
LCM(984,990) = 162360

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

Least Common Multiple of 984 and 990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 984 and 990, than apply into the LCM equation.

GCF(984,990) = 6
LCM(984,990) = ( 984 × 990) / 6
LCM(984,990) = 974160 / 6
LCM(984,990) = 162360

Properties of LCM 984 and 990

(i) The LCM of 990 and 984 is associative

LCM of 984 and 990 = LCM of 990 and 984

Related Least Common Multiples of 984

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 984 and 990

1. What is the LCM of 984 and 990?

Answer: LCM of 984 and 990 is 162360.

2. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

3. 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.

4. How to Find the LCM of 984 and 990?

Answer:

Least Common Multiple of 984 and 990 = 162360

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

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

LCM = 162360 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 984 and 990 is 162360.