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;
- Least Common Multiple of 978 and 981 by Prime method
- Least Common Multiple of 978 and 981 with GCF Formula
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.
