Least Common Multiple of 978 and 984

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 984 the smallest integer that is 160392 that is divisible by both numbers.

Least Common Multiple (LCM) of 978 and 984 is 160392.

LCM(978,984) = 160392

LCM of 978 and 984

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

LCM of:
and

Least Common Multiple of 978 and 984

LCM of 978 and 984 is 160392

Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 984. First we will calculate the prime factors of 978 and 984.

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 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2, 3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 984.

LCM(978,984) = 23×31×411×1631
LCM(978,984) = 160392

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 984

List of positive integer factors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Least Common Multiple of 978 and 984 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 984, than apply into the LCM equation.

GCF(978,984) = 6
LCM(978,984) = ( 978 × 984) / 6
LCM(978,984) = 962352 / 6
LCM(978,984) = 160392

Properties of LCM 978 and 984

(i) The LCM of 984 and 978 is associative

LCM of 978 and 984 = LCM of 984 and 978

Related Least Common Multiples of 978

Related Least Common Multiples of 984

Frequently Asked Questions on LCM of 978 and 984

1. What is the LCM of 978 and 984?

Answer: LCM of 978 and 984 is 160392.

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 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

4. How to Find the LCM of 978 and 984?

Answer:

Least Common Multiple of 978 and 984 = 160392

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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

LCM = 160392 = 2 x 2 x 2 x 3 x 41 x 163

Step 4: Therefore, the least common multiple of 978 and 984 is 160392.