Least Common Multiple of 983 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 983 and 990 the smallest integer that is 973170 that is divisible by both numbers.

Least Common Multiple (LCM) of 983 and 990 is 973170.

LCM(983,990) = 973170

LCM of 983 and 990

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

LCM of:
and

Least Common Multiple of 983 and 990

LCM of 983 and 990 is 973170

Least common multiple can be found by multiplying the highest exponent prime factors of 983 and 990. First we will calculate the prime factors of 983 and 990.

Prime Factorization of 983


983 983
1

Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:

983 = 9831

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 983 and 990.

LCM(983,990) = 21×32×51×111×9831
LCM(983,990) = 973170

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1, 983

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 983 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 983 and 990, than apply into the LCM equation.

GCF(983,990) = 1
LCM(983,990) = ( 983 × 990) / 1
LCM(983,990) = 973170 / 1
LCM(983,990) = 973170

Properties of LCM 983 and 990

(i) The LCM of 990 and 983 is associative

LCM of 983 and 990 = LCM of 990 and 983

Related Least Common Multiples of 983

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 983 and 990

1. What is the LCM of 983 and 990?

Answer: LCM of 983 and 990 is 973170.

2. What are the Factors of 983?

Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.

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 983 and 990?

Answer:

Least Common Multiple of 983 and 990 = 973170

Step 1: Find the prime factorization of 983

983 = 983

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 = 973170 = 2 x 3 x 3 x 5 x 11 x 983

Step 4: Therefore, the least common multiple of 983 and 990 is 973170.