Least Common Multiple of 980 and 985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 980 and 985 the smallest integer that is 193060 that is divisible by both numbers.

Least Common Multiple (LCM) of 980 and 985 is 193060.

LCM(980,985) = 193060

LCM of 980 and 985

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

LCM of:
and

Least Common Multiple of 980 and 985

LCM of 980 and 985 is 193060

Least common multiple can be found by multiplying the highest exponent prime factors of 980 and 985. First we will calculate the prime factors of 980 and 985.

Prime Factorization of 980


2 980
2 490
5 245
7 49
7 7
1

Prime factors of 980 are 2, 5,7. Prime factorization of 980 in exponential form is:

980 = 22×51×72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 980 and 985.

LCM(980,985) = 22×51×72×1971
LCM(980,985) = 193060

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Factors of 985

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

1, 5, 197, 985

Least Common Multiple of 980 and 985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 980 and 985, than apply into the LCM equation.

GCF(980,985) = 5
LCM(980,985) = ( 980 × 985) / 5
LCM(980,985) = 965300 / 5
LCM(980,985) = 193060

Properties of LCM 980 and 985

(i) The LCM of 985 and 980 is associative

LCM of 980 and 985 = LCM of 985 and 980

Related Least Common Multiples of 980

Related Least Common Multiples of 985

Frequently Asked Questions on LCM of 980 and 985

1. What is the LCM of 980 and 985?

Answer: LCM of 980 and 985 is 193060.

2. What are the Factors of 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

3. 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.

4. How to Find the LCM of 980 and 985?

Answer:

Least Common Multiple of 980 and 985 = 193060

Step 1: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 985

985 = 5 x 197

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

LCM = 193060 = 2 x 2 x 5 x 7 x 7 x 197

Step 4: Therefore, the least common multiple of 980 and 985 is 193060.