Least Common Multiple of 350 and 353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 350 and 353 the smallest integer that is 123550 that is divisible by both numbers.

Least Common Multiple (LCM) of 350 and 353 is 123550.

LCM(350,353) = 123550

LCM of 350 and 353

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

LCM of:
and

Least Common Multiple of 350 and 353

LCM of 350 and 353 is 123550

Least common multiple can be found by multiplying the highest exponent prime factors of 350 and 353. First we will calculate the prime factors of 350 and 353.

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

Prime Factorization of 353


353 353
1

Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:

353 = 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 350 and 353.

LCM(350,353) = 21×52×71×3531
LCM(350,353) = 123550

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

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1, 353

Least Common Multiple of 350 and 353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 350 and 353, than apply into the LCM equation.

GCF(350,353) = 1
LCM(350,353) = ( 350 × 353) / 1
LCM(350,353) = 123550 / 1
LCM(350,353) = 123550

Properties of LCM 350 and 353

(i) The LCM of 353 and 350 is associative

LCM of 350 and 353 = LCM of 353 and 350

Related Least Common Multiples of 350

Related Least Common Multiples of 353

Frequently Asked Questions on LCM of 350 and 353

1. What is the LCM of 350 and 353?

Answer: LCM of 350 and 353 is 123550.

2. 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.

3. What are the Factors of 353?

Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.

4. How to Find the LCM of 350 and 353?

Answer:

Least Common Multiple of 350 and 353 = 123550

Step 1: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 353

353 = 353

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 123550 = 2 x 5 x 5 x 7 x 353

Step 4: Therefore, the least common multiple of 350 and 353 is 123550.