Least Common Multiple of 344 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 344 and 350 the smallest integer that is 60200 that is divisible by both numbers.

Least Common Multiple (LCM) of 344 and 350 is 60200.

LCM(344,350) = 60200

LCM of 344 and 350

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

LCM of:
and

Least Common Multiple of 344 and 350

LCM of 344 and 350 is 60200

Least common multiple can be found by multiplying the highest exponent prime factors of 344 and 350. First we will calculate the prime factors of 344 and 350.

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

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 344 and 350.

LCM(344,350) = 23×52×71×431
LCM(344,350) = 60200

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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 344 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 344 and 350, than apply into the LCM equation.

GCF(344,350) = 2
LCM(344,350) = ( 344 × 350) / 2
LCM(344,350) = 120400 / 2
LCM(344,350) = 60200

Properties of LCM 344 and 350

(i) The LCM of 350 and 344 is associative

LCM of 344 and 350 = LCM of 350 and 344

Related Least Common Multiples of 344

Related Least Common Multiples of 350

Frequently Asked Questions on LCM of 344 and 350

1. What is the LCM of 344 and 350?

Answer: LCM of 344 and 350 is 60200.

2. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

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 344 and 350?

Answer:

Least Common Multiple of 344 and 350 = 60200

Step 1: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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 = 60200 = 2 x 2 x 2 x 5 x 5 x 7 x 43

Step 4: Therefore, the least common multiple of 344 and 350 is 60200.