Least Common Multiple of 979 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 979 and 985 the smallest integer that is 964315 that is divisible by both numbers.
Least Common Multiple (LCM) of 979 and 985 is 964315.
LCM(979,985) = 964315
LCM of 979 and 985
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 979 and 985 by Prime method
- Least Common Multiple of 979 and 985 with GCF Formula
LCM of 979 and 985 is 964315
Least common multiple can be found by multiplying the highest exponent prime factors of 979 and 985. First we will calculate the prime factors of 979 and 985.
Prime Factorization of 979
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:
979 = 111×891
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 979 and 985.
LCM(979,985) = 51×111×891×1971
LCM(979,985) = 964315
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Least Common Multiple of 979 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 979 and 985, than apply into the LCM equation.
GCF(979,985) = 1
LCM(979,985) = ( 979 × 985) / 1
LCM(979,985) = 964315 / 1
LCM(979,985) = 964315
Properties of LCM 979 and 985
(i) The LCM of 985 and 979 is associative
LCM of 979 and 985 = LCM of 985 and 979
Related Least Common Multiples of 979
Related Least Common Multiples of 985
Frequently Asked Questions on LCM of 979 and 985
1. What is the LCM of 979 and 985?
Answer: LCM of 979 and 985 is 964315.
2. What are the Factors of 979?
Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.
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 979 and 985?
Answer:
Least Common Multiple of 979 and 985 = 964315
Step 1: Find the prime factorization of 979
979 = 11 x 89
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 = 964315 = 5 x 11 x 89 x 197
Step 4: Therefore, the least common multiple of 979 and 985 is 964315.