Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 343 and 347 the smallest integer that is 119021 that is divisible by both numbers.
Least Common Multiple (LCM) of 343 and 347 is 119021.
LCM(343,347) = 119021
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 343 and 347. First we will calculate the prime factors of 343 and 347.
Prime Factorization of 343
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:
343 = 73
Prime Factorization of 347
347 | 347 |
1 |
Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:
347 = 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 343 and 347.
LCM(343,347) = 73×3471
LCM(343,347) = 119021
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1, 347
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 343 and 347, than apply into the LCM equation.
GCF(343,347) = 1
LCM(343,347) = ( 343 × 347) / 1
LCM(343,347) = 119021 / 1
LCM(343,347) = 119021
(i) The LCM of 347 and 343 is associative
LCM of 343 and 347 = LCM of 347 and 343
1. What is the LCM of 343 and 347?
Answer: LCM of 343 and 347 is 119021.
2. What are the Factors of 343?
Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.
3. What are the Factors of 347?
Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.
4. How to Find the LCM of 343 and 347?
Answer:
Least Common Multiple of 343 and 347 = 119021
Step 1: Find the prime factorization of 343
343 = 7 x 7 x 7
Step 2: Find the prime factorization of 347
347 = 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 119021 = 7 x 7 x 7 x 347
Step 4: Therefore, the least common multiple of 343 and 347 is 119021.