Least Common Multiple of 978 and 986

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 986 the smallest integer that is 482154 that is divisible by both numbers.

Least Common Multiple (LCM) of 978 and 986 is 482154.

LCM(978,986) = 482154

LCM of 978 and 986

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

LCM of:
and

Least Common Multiple of 978 and 986

LCM of 978 and 986 is 482154

Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 986. First we will calculate the prime factors of 978 and 986.

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 986


2 986
17 493
29 29
1

Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 986.

LCM(978,986) = 21×31×171×291×1631
LCM(978,986) = 482154

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 986

List of positive integer factors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Least Common Multiple of 978 and 986 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 986, than apply into the LCM equation.

GCF(978,986) = 2
LCM(978,986) = ( 978 × 986) / 2
LCM(978,986) = 964308 / 2
LCM(978,986) = 482154

Properties of LCM 978 and 986

(i) The LCM of 986 and 978 is associative

LCM of 978 and 986 = LCM of 986 and 978

Related Least Common Multiples of 978

Related Least Common Multiples of 986

Frequently Asked Questions on LCM of 978 and 986

1. What is the LCM of 978 and 986?

Answer: LCM of 978 and 986 is 482154.

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 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

4. How to Find the LCM of 978 and 986?

Answer:

Least Common Multiple of 978 and 986 = 482154

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 986

986 = 2 x 17 x 29

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

LCM = 482154 = 2 x 3 x 17 x 29 x 163

Step 4: Therefore, the least common multiple of 978 and 986 is 482154.