Least Common Multiple of 347 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 347 and 350 the smallest integer that is 121450 that is divisible by both numbers.

Least Common Multiple (LCM) of 347 and 350 is 121450.

LCM(347,350) = 121450

LCM of 347 and 350

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

LCM of:
and

Least Common Multiple of 347 and 350

LCM of 347 and 350 is 121450

Least common multiple can be found by multiplying the highest exponent prime factors of 347 and 350. First we will calculate the prime factors of 347 and 350.

Prime Factorization of 347


347 347
1

Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:

347 = 3471

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 347 and 350.

LCM(347,350) = 21×52×71×3471
LCM(347,350) = 121450

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1, 347

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 347 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 347 and 350, than apply into the LCM equation.

GCF(347,350) = 1
LCM(347,350) = ( 347 × 350) / 1
LCM(347,350) = 121450 / 1
LCM(347,350) = 121450

Properties of LCM 347 and 350

(i) The LCM of 350 and 347 is associative

LCM of 347 and 350 = LCM of 350 and 347

Related Least Common Multiples of 347

Related Least Common Multiples of 350

Frequently Asked Questions on LCM of 347 and 350

1. What is the LCM of 347 and 350?

Answer: LCM of 347 and 350 is 121450.

2. 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.

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 347 and 350?

Answer:

Least Common Multiple of 347 and 350 = 121450

Step 1: Find the prime factorization of 347

347 = 347

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 = 121450 = 2 x 5 x 5 x 7 x 347

Step 4: Therefore, the least common multiple of 347 and 350 is 121450.