Least Common Multiple of 980 and 987

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 987 the smallest integer that is 138180 that is divisible by both numbers.

Least Common Multiple (LCM) of 980 and 987 is 138180.

LCM(980,987) = 138180

LCM of 980 and 987

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

LCM of:
and

Least Common Multiple of 980 and 987

LCM of 980 and 987 is 138180

Least common multiple can be found by multiplying the highest exponent prime factors of 980 and 987. First we will calculate the prime factors of 980 and 987.

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 987


3 987
7 329
47 47
1

Prime factors of 987 are 3, 7,47. Prime factorization of 987 in exponential form is:

987 = 31×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 980 and 987.

LCM(980,987) = 22×31×51×72×471
LCM(980,987) = 138180

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 987

List of positive integer factors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Least Common Multiple of 980 and 987 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 987, than apply into the LCM equation.

GCF(980,987) = 7
LCM(980,987) = ( 980 × 987) / 7
LCM(980,987) = 967260 / 7
LCM(980,987) = 138180

Properties of LCM 980 and 987

(i) The LCM of 987 and 980 is associative

LCM of 980 and 987 = LCM of 987 and 980

Related Least Common Multiples of 980

Related Least Common Multiples of 987

Frequently Asked Questions on LCM of 980 and 987

1. What is the LCM of 980 and 987?

Answer: LCM of 980 and 987 is 138180.

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 987?

Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.

4. How to Find the LCM of 980 and 987?

Answer:

Least Common Multiple of 980 and 987 = 138180

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 987

987 = 3 x 7 x 47

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

LCM = 138180 = 2 x 2 x 3 x 5 x 7 x 7 x 47

Step 4: Therefore, the least common multiple of 980 and 987 is 138180.