Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 670 and 676 the smallest integer that is 226460 that is divisible by both numbers.
Least Common Multiple (LCM) of 670 and 676 is 226460.
LCM(670,676) = 226460
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 670 and 676. First we will calculate the prime factors of 670 and 676.
Prime Factorization of 670
2 | 670 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 670 are 2, 5,67. Prime factorization of 670 in exponential form is:
670 = 21×51×671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 670 and 676.
LCM(670,676) = 22×51×132×671
LCM(670,676) = 226460
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 670 and 676, than apply into the LCM equation.
GCF(670,676) = 2
LCM(670,676) = ( 670 × 676) / 2
LCM(670,676) = 452920 / 2
LCM(670,676) = 226460
(i) The LCM of 676 and 670 is associative
LCM of 670 and 676 = LCM of 676 and 670
1. What is the LCM of 670 and 676?
Answer: LCM of 670 and 676 is 226460.
2. What are the Factors of 670?
Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.
3. 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.
4. How to Find the LCM of 670 and 676?
Answer:
Least Common Multiple of 670 and 676 = 226460
Step 1: Find the prime factorization of 670
670 = 2 x 5 x 67
Step 2: Find the prime factorization of 676
676 = 2 x 2 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 226460 = 2 x 2 x 5 x 13 x 13 x 67
Step 4: Therefore, the least common multiple of 670 and 676 is 226460.