Least Common Multiple of 978 and 982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 978 and 982 the smallest integer that is 480198 that is divisible by both numbers.

Least Common Multiple (LCM) of 978 and 982 is 480198.

LCM(978,982) = 480198

LCM of 978 and 982

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

LCM of:
and

Least Common Multiple of 978 and 982

LCM of 978 and 982 is 480198

Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 982. First we will calculate the prime factors of 978 and 982.

Prime Factorization of 978


2 978
3 489
163 163
1

Prime factors of 978 are 2, 3,163. Prime factorization of 978 in exponential form is:

978 = 21×31×1631

Prime Factorization of 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 982.

LCM(978,982) = 21×31×1631×4911
LCM(978,982) = 480198

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Least Common Multiple of 978 and 982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 978 and 982, than apply into the LCM equation.

GCF(978,982) = 2
LCM(978,982) = ( 978 × 982) / 2
LCM(978,982) = 960396 / 2
LCM(978,982) = 480198

Properties of LCM 978 and 982

(i) The LCM of 982 and 978 is associative

LCM of 978 and 982 = LCM of 982 and 978

Related Least Common Multiples of 978

Related Least Common Multiples of 982

Frequently Asked Questions on LCM of 978 and 982

1. What is the LCM of 978 and 982?

Answer: LCM of 978 and 982 is 480198.

2. What are the Factors of 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

3. What are the Factors of 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

4. How to Find the LCM of 978 and 982?

Answer:

Least Common Multiple of 978 and 982 = 480198

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 982

982 = 2 x 491

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

LCM = 480198 = 2 x 3 x 163 x 491

Step 4: Therefore, the least common multiple of 978 and 982 is 480198.