Least Common Multiple of 985 and 988
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 985 and 988 the smallest integer that is 973180 that is divisible by both numbers.
Least Common Multiple (LCM) of 985 and 988 is 973180.
LCM(985,988) = 973180
LCM of 985 and 988
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 985 and 988 by Prime method
- Least Common Multiple of 985 and 988 with GCF Formula
LCM of 985 and 988 is 973180
Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 988. First we will calculate the prime factors of 985 and 988.
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
Prime Factorization of 988
| 2 | 988 |
| 2 | 494 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 988 are 2, 13,19. Prime factorization of 988 in exponential form is:
988 = 22×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 985 and 988.
LCM(985,988) = 22×51×131×191×1971
LCM(985,988) = 973180
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Least Common Multiple of 985 and 988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 988, than apply into the LCM equation.
GCF(985,988) = 1
LCM(985,988) = ( 985 × 988) / 1
LCM(985,988) = 973180 / 1
LCM(985,988) = 973180
Properties of LCM 985 and 988
(i) The LCM of 988 and 985 is associative
LCM of 985 and 988 = LCM of 988 and 985
Related Least Common Multiples of 985
Related Least Common Multiples of 988
Frequently Asked Questions on LCM of 985 and 988
1. What is the LCM of 985 and 988?
Answer: LCM of 985 and 988 is 973180.
2. 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.
3. What are the Factors of 988?
Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.
4. How to Find the LCM of 985 and 988?
Answer:
Least Common Multiple of 985 and 988 = 973180
Step 1: Find the prime factorization of 985
985 = 5 x 197
Step 2: Find the prime factorization of 988
988 = 2 x 2 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 973180 = 2 x 2 x 5 x 13 x 19 x 197
Step 4: Therefore, the least common multiple of 985 and 988 is 973180.