Least Common Multiple of 982 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 982 and 990 the smallest integer that is 486090 that is divisible by both numbers.

Least Common Multiple (LCM) of 982 and 990 is 486090.

LCM(982,990) = 486090

LCM of 982 and 990

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

LCM of:
and

Least Common Multiple of 982 and 990

LCM of 982 and 990 is 486090

Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 990. First we will calculate the prime factors of 982 and 990.

Prime Factorization of 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

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 982 and 990.

LCM(982,990) = 21×32×51×111×4911
LCM(982,990) = 486090

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 982 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 982 and 990, than apply into the LCM equation.

GCF(982,990) = 2
LCM(982,990) = ( 982 × 990) / 2
LCM(982,990) = 972180 / 2
LCM(982,990) = 486090

Properties of LCM 982 and 990

(i) The LCM of 990 and 982 is associative

LCM of 982 and 990 = LCM of 990 and 982

Related Least Common Multiples of 982

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 982 and 990

1. What is the LCM of 982 and 990?

Answer: LCM of 982 and 990 is 486090.

2. What are the Factors of 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

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 982 and 990?

Answer:

Least Common Multiple of 982 and 990 = 486090

Step 1: Find the prime factorization of 982

982 = 2 x 491

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 = 486090 = 2 x 3 x 3 x 5 x 11 x 491

Step 4: Therefore, the least common multiple of 982 and 990 is 486090.