Least Common Multiple of 978 and 985
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 985 the smallest integer that is 963330 that is divisible by both numbers.
Least Common Multiple (LCM) of 978 and 985 is 963330.
LCM(978,985) = 963330
LCM of 978 and 985
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 978 and 985 by Prime method
- Least Common Multiple of 978 and 985 with GCF Formula
LCM of 978 and 985 is 963330
Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 985. First we will calculate the prime factors of 978 and 985.
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 985
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:
985 = 51×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 978 and 985.
LCM(978,985) = 21×31×51×1631×1971
LCM(978,985) = 963330
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 985
List of positive integer factors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Least Common Multiple of 978 and 985 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 985, than apply into the LCM equation.
GCF(978,985) = 1
LCM(978,985) = ( 978 × 985) / 1
LCM(978,985) = 963330 / 1
LCM(978,985) = 963330
Properties of LCM 978 and 985
(i) The LCM of 985 and 978 is associative
LCM of 978 and 985 = LCM of 985 and 978
Related Least Common Multiples of 978
Related Least Common Multiples of 985
Frequently Asked Questions on LCM of 978 and 985
1. What is the LCM of 978 and 985?
Answer: LCM of 978 and 985 is 963330.
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 985?
Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.
4. How to Find the LCM of 978 and 985?
Answer:
Least Common Multiple of 978 and 985 = 963330
Step 1: Find the prime factorization of 978
978 = 2 x 3 x 163
Step 2: Find the prime factorization of 985
985 = 5 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 963330 = 2 x 3 x 5 x 163 x 197
Step 4: Therefore, the least common multiple of 978 and 985 is 963330.