Least Common Multiple of 980 and 988

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 988 the smallest integer that is 242060 that is divisible by both numbers.

Least Common Multiple (LCM) of 980 and 988 is 242060.

LCM(980,988) = 242060

LCM of 980 and 988

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

LCM of:
and

Least Common Multiple of 980 and 988

LCM of 980 and 988 is 242060

Least common multiple can be found by multiplying the highest exponent prime factors of 980 and 988. First we will calculate the prime factors of 980 and 988.

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 988


2 988
2 494
13 247
19 19
1

Prime factors of 988 are 2, 13,19. Prime factorization of 988 in exponential form is:

988 = 22×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 980 and 988.

LCM(980,988) = 22×51×72×131×191
LCM(980,988) = 242060

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 988

List of positive integer factors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Least Common Multiple of 980 and 988 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 988, than apply into the LCM equation.

GCF(980,988) = 4
LCM(980,988) = ( 980 × 988) / 4
LCM(980,988) = 968240 / 4
LCM(980,988) = 242060

Properties of LCM 980 and 988

(i) The LCM of 988 and 980 is associative

LCM of 980 and 988 = LCM of 988 and 980

Related Least Common Multiples of 980

Related Least Common Multiples of 988

Frequently Asked Questions on LCM of 980 and 988

1. What is the LCM of 980 and 988?

Answer: LCM of 980 and 988 is 242060.

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 988?

Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.

4. How to Find the LCM of 980 and 988?

Answer:

Least Common Multiple of 980 and 988 = 242060

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 988

988 = 2 x 2 x 13 x 19

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

LCM = 242060 = 2 x 2 x 5 x 7 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 980 and 988 is 242060.