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;
- Least Common Multiple of 978 and 982 by Prime method
- Least Common Multiple of 978 and 982 with GCF Formula
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.
