Least Common Multiple of 978 and 980

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 980 the smallest integer that is 479220 that is divisible by both numbers.

Least Common Multiple (LCM) of 978 and 980 is 479220.

LCM(978,980) = 479220

LCM of 978 and 980

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

LCM of:
and

Least Common Multiple of 978 and 980

LCM of 978 and 980 is 479220

Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 980. First we will calculate the prime factors of 978 and 980.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 980.

LCM(978,980) = 22×31×51×72×1631
LCM(978,980) = 479220

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 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

Least Common Multiple of 978 and 980 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 980, than apply into the LCM equation.

GCF(978,980) = 2
LCM(978,980) = ( 978 × 980) / 2
LCM(978,980) = 958440 / 2
LCM(978,980) = 479220

Properties of LCM 978 and 980

(i) The LCM of 980 and 978 is associative

LCM of 978 and 980 = LCM of 980 and 978

Related Least Common Multiples of 978

Related Least Common Multiples of 980

Frequently Asked Questions on LCM of 978 and 980

1. What is the LCM of 978 and 980?

Answer: LCM of 978 and 980 is 479220.

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 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.

4. How to Find the LCM of 978 and 980?

Answer:

Least Common Multiple of 978 and 980 = 479220

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

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

LCM = 479220 = 2 x 2 x 3 x 5 x 7 x 7 x 163

Step 4: Therefore, the least common multiple of 978 and 980 is 479220.