Least Common Multiple of 985 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 985 and 990 the smallest integer that is 195030 that is divisible by both numbers.

Least Common Multiple (LCM) of 985 and 990 is 195030.

LCM(985,990) = 195030

LCM of 985 and 990

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

LCM of:
and

Least Common Multiple of 985 and 990

LCM of 985 and 990 is 195030

Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 990. First we will calculate the prime factors of 985 and 990.

Prime Factorization of 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

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 985 and 990.

LCM(985,990) = 21×32×51×111×1971
LCM(985,990) = 195030

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1, 5, 197, 985

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 985 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 985 and 990, than apply into the LCM equation.

GCF(985,990) = 5
LCM(985,990) = ( 985 × 990) / 5
LCM(985,990) = 975150 / 5
LCM(985,990) = 195030

Properties of LCM 985 and 990

(i) The LCM of 990 and 985 is associative

LCM of 985 and 990 = LCM of 990 and 985

Related Least Common Multiples of 985

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 985 and 990

1. What is the LCM of 985 and 990?

Answer: LCM of 985 and 990 is 195030.

2. What are the Factors of 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

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 985 and 990?

Answer:

Least Common Multiple of 985 and 990 = 195030

Step 1: Find the prime factorization of 985

985 = 5 x 197

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 = 195030 = 2 x 3 x 3 x 5 x 11 x 197

Step 4: Therefore, the least common multiple of 985 and 990 is 195030.