Least Common Multiple of 978 and 981

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 981 the smallest integer that is 319806 that is divisible by both numbers.

Least Common Multiple (LCM) of 978 and 981 is 319806.

LCM(978,981) = 319806

LCM of 978 and 981

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

LCM of:
and

Least Common Multiple of 978 and 981

LCM of 978 and 981 is 319806

Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 981. First we will calculate the prime factors of 978 and 981.

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 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 981.

LCM(978,981) = 21×32×1091×1631
LCM(978,981) = 319806

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 981

List of positive integer factors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Least Common Multiple of 978 and 981 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 981, than apply into the LCM equation.

GCF(978,981) = 3
LCM(978,981) = ( 978 × 981) / 3
LCM(978,981) = 959418 / 3
LCM(978,981) = 319806

Properties of LCM 978 and 981

(i) The LCM of 981 and 978 is associative

LCM of 978 and 981 = LCM of 981 and 978

Related Least Common Multiples of 978

Related Least Common Multiples of 981

Frequently Asked Questions on LCM of 978 and 981

1. What is the LCM of 978 and 981?

Answer: LCM of 978 and 981 is 319806.

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 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

4. How to Find the LCM of 978 and 981?

Answer:

Least Common Multiple of 978 and 981 = 319806

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 981

981 = 3 x 3 x 109

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

LCM = 319806 = 2 x 3 x 3 x 109 x 163

Step 4: Therefore, the least common multiple of 978 and 981 is 319806.