Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 676 and 681 the smallest integer that is 460356 that is divisible by both numbers.
Least Common Multiple (LCM) of 676 and 681 is 460356.
LCM(676,681) = 460356
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 676 and 681. First we will calculate the prime factors of 676 and 681.
Prime Factorization of 676
2 | 676 |
2 | 338 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:
676 = 22×132
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
Now multiplying the highest exponent prime factors to calculate the LCM of 676 and 681.
LCM(676,681) = 22×31×132×2271
LCM(676,681) = 460356
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1, 3, 227, 681
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 676 and 681, than apply into the LCM equation.
GCF(676,681) = 1
LCM(676,681) = ( 676 × 681) / 1
LCM(676,681) = 460356 / 1
LCM(676,681) = 460356
(i) The LCM of 681 and 676 is associative
LCM of 676 and 681 = LCM of 681 and 676
1. What is the LCM of 676 and 681?
Answer: LCM of 676 and 681 is 460356.
2. What are the Factors of 676?
Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.
3. 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.
4. How to Find the LCM of 676 and 681?
Answer:
Least Common Multiple of 676 and 681 = 460356
Step 1: Find the prime factorization of 676
676 = 2 x 2 x 13 x 13
Step 2: Find the prime factorization of 681
681 = 3 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 460356 = 2 x 2 x 3 x 13 x 13 x 227
Step 4: Therefore, the least common multiple of 676 and 681 is 460356.