Least Common Multiple of 349 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 349 and 350 the smallest integer that is 122150 that is divisible by both numbers.

Least Common Multiple (LCM) of 349 and 350 is 122150.

LCM(349,350) = 122150

LCM of 349 and 350

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

LCM of:
and

Least Common Multiple of 349 and 350

LCM of 349 and 350 is 122150

Least common multiple can be found by multiplying the highest exponent prime factors of 349 and 350. First we will calculate the prime factors of 349 and 350.

Prime Factorization of 349


349 349
1

Prime factors of 349 are 349. Prime factorization of 349 in exponential form is:

349 = 3491

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 349 and 350.

LCM(349,350) = 21×52×71×3491
LCM(349,350) = 122150

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1, 349

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 349 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 349 and 350, than apply into the LCM equation.

GCF(349,350) = 1
LCM(349,350) = ( 349 × 350) / 1
LCM(349,350) = 122150 / 1
LCM(349,350) = 122150

Properties of LCM 349 and 350

(i) The LCM of 350 and 349 is associative

LCM of 349 and 350 = LCM of 350 and 349

Related Least Common Multiples of 349

Related Least Common Multiples of 350

Frequently Asked Questions on LCM of 349 and 350

1. What is the LCM of 349 and 350?

Answer: LCM of 349 and 350 is 122150.

2. What are the Factors of 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

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 349 and 350?

Answer:

Least Common Multiple of 349 and 350 = 122150

Step 1: Find the prime factorization of 349

349 = 349

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 = 122150 = 2 x 5 x 5 x 7 x 349

Step 4: Therefore, the least common multiple of 349 and 350 is 122150.