Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 681 and 686 the smallest integer that is 467166 that is divisible by both numbers.
Least Common Multiple (LCM) of 681 and 686 is 467166.
LCM(681,686) = 467166
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 686. First we will calculate the prime factors of 681 and 686.
Prime Factorization of 681
3 | 681 |
227 | 227 |
1 |
Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:
681 = 31×2271
Prime Factorization of 686
2 | 686 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 686 are 2,7. Prime factorization of 686 in exponential form is:
686 = 21×73
Now multiplying the highest exponent prime factors to calculate the LCM of 681 and 686.
LCM(681,686) = 21×31×73×2271
LCM(681,686) = 467166
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 681 and 686, than apply into the LCM equation.
GCF(681,686) = 1
LCM(681,686) = ( 681 × 686) / 1
LCM(681,686) = 467166 / 1
LCM(681,686) = 467166
(i) The LCM of 686 and 681 is associative
LCM of 681 and 686 = LCM of 686 and 681
1. What is the LCM of 681 and 686?
Answer: LCM of 681 and 686 is 467166.
2. What are the Factors of 681?
Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.
3. What are the Factors of 686?
Answer: Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. There are 8 integers that are factors of 686. The greatest factor of 686 is 686.
4. How to Find the LCM of 681 and 686?
Answer:
Least Common Multiple of 681 and 686 = 467166
Step 1: Find the prime factorization of 681
681 = 3 x 227
Step 2: Find the prime factorization of 686
686 = 2 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 467166 = 2 x 3 x 7 x 7 x 7 x 227
Step 4: Therefore, the least common multiple of 681 and 686 is 467166.