Least Common Multiple of 986 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 986 and 990 the smallest integer that is 488070 that is divisible by both numbers.

Least Common Multiple (LCM) of 986 and 990 is 488070.

LCM(986,990) = 488070

LCM of 986 and 990

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

LCM of:
and

Least Common Multiple of 986 and 990

LCM of 986 and 990 is 488070

Least common multiple can be found by multiplying the highest exponent prime factors of 986 and 990. First we will calculate the prime factors of 986 and 990.

Prime Factorization of 986


2 986
17 493
29 29
1

Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

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 986 and 990.

LCM(986,990) = 21×32×51×111×171×291
LCM(986,990) = 488070

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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 986 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 986 and 990, than apply into the LCM equation.

GCF(986,990) = 2
LCM(986,990) = ( 986 × 990) / 2
LCM(986,990) = 976140 / 2
LCM(986,990) = 488070

Properties of LCM 986 and 990

(i) The LCM of 990 and 986 is associative

LCM of 986 and 990 = LCM of 990 and 986

Related Least Common Multiples of 986

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 986 and 990

1. What is the LCM of 986 and 990?

Answer: LCM of 986 and 990 is 488070.

2. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

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 986 and 990?

Answer:

Least Common Multiple of 986 and 990 = 488070

Step 1: Find the prime factorization of 986

986 = 2 x 17 x 29

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 = 488070 = 2 x 3 x 3 x 5 x 11 x 17 x 29

Step 4: Therefore, the least common multiple of 986 and 990 is 488070.