Least Common Multiple of 342 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 342 and 350 the smallest integer that is 59850 that is divisible by both numbers.

Least Common Multiple (LCM) of 342 and 350 is 59850.

LCM(342,350) = 59850

LCM of 342 and 350

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

LCM of:
and

Least Common Multiple of 342 and 350

LCM of 342 and 350 is 59850

Least common multiple can be found by multiplying the highest exponent prime factors of 342 and 350. First we will calculate the prime factors of 342 and 350.

Prime Factorization of 342


2 342
3 171
3 57
19 19
1

Prime factors of 342 are 2, 3,19. Prime factorization of 342 in exponential form is:

342 = 21×32×191

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 342 and 350.

LCM(342,350) = 21×32×52×71×191
LCM(342,350) = 59850

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 342 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 342 and 350, than apply into the LCM equation.

GCF(342,350) = 2
LCM(342,350) = ( 342 × 350) / 2
LCM(342,350) = 119700 / 2
LCM(342,350) = 59850

Properties of LCM 342 and 350

(i) The LCM of 350 and 342 is associative

LCM of 342 and 350 = LCM of 350 and 342

Related Least Common Multiples of 342

Related Least Common Multiples of 350

Frequently Asked Questions on LCM of 342 and 350

1. What is the LCM of 342 and 350?

Answer: LCM of 342 and 350 is 59850.

2. What are the Factors of 342?

Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.

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 342 and 350?

Answer:

Least Common Multiple of 342 and 350 = 59850

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

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 = 59850 = 2 x 3 x 3 x 5 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 342 and 350 is 59850.