Least Common Multiple of 978 and 983
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 983 the smallest integer that is 961374 that is divisible by both numbers.
Least Common Multiple (LCM) of 978 and 983 is 961374.
LCM(978,983) = 961374
LCM of 978 and 983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 978 and 983 by Prime method
- Least Common Multiple of 978 and 983 with GCF Formula
LCM of 978 and 983 is 961374
Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 983. First we will calculate the prime factors of 978 and 983.
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 983
| 983 | 983 |
| 1 |
Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:
983 = 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 983.
LCM(978,983) = 21×31×1631×9831
LCM(978,983) = 961374
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 983
List of positive integer factors of 983 that divides 983 without a remainder.
1, 983
Least Common Multiple of 978 and 983 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 983, than apply into the LCM equation.
GCF(978,983) = 1
LCM(978,983) = ( 978 × 983) / 1
LCM(978,983) = 961374 / 1
LCM(978,983) = 961374
Properties of LCM 978 and 983
(i) The LCM of 983 and 978 is associative
LCM of 978 and 983 = LCM of 983 and 978
Related Least Common Multiples of 978
Related Least Common Multiples of 983
Frequently Asked Questions on LCM of 978 and 983
1. What is the LCM of 978 and 983?
Answer: LCM of 978 and 983 is 961374.
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 983?
Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.
4. How to Find the LCM of 978 and 983?
Answer:
Least Common Multiple of 978 and 983 = 961374
Step 1: Find the prime factorization of 978
978 = 2 x 3 x 163
Step 2: Find the prime factorization of 983
983 = 983
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 961374 = 2 x 3 x 163 x 983
Step 4: Therefore, the least common multiple of 978 and 983 is 961374.