Least Common Multiple of 343 and 350

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 350 the smallest integer that is 17150 that is divisible by both numbers.

Least Common Multiple (LCM) of 343 and 350 is 17150.

LCM(343,350) = 17150

LCM of 343 and 350

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 343 and 350

LCM of 343 and 350 is 17150

Least common multiple can be found by multiplying the highest exponent prime factors of 343 and 350. First we will calculate the prime factors of 343 and 350.

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 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2, 5,7. Prime factorization of 350 in exponential form is:

350 = 21×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 343 and 350.

LCM(343,350) = 21×52×73
LCM(343,350) = 17150

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Least Common Multiple of 343 and 350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 343 and 350, than apply into the LCM equation.

GCF(343,350) = 7
LCM(343,350) = ( 343 × 350) / 7
LCM(343,350) = 120050 / 7
LCM(343,350) = 17150

Properties of LCM 343 and 350

(i) The LCM of 350 and 343 is associative

LCM of 343 and 350 = LCM of 350 and 343

Related Least Common Multiples of 343

Related Least Common Multiples of 350

Frequently Asked Questions on LCM of 343 and 350

1. What is the LCM of 343 and 350?

Answer: LCM of 343 and 350 is 17150.

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 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

4. How to Find the LCM of 343 and 350?

Answer:

Least Common Multiple of 343 and 350 = 17150

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

Step 2: Find the prime factorization of 350

350 = 2 x 5 x 5 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 = 17150 = 2 x 5 x 5 x 7 x 7 x 7

Step 4: Therefore, the least common multiple of 343 and 350 is 17150.