Least Common Multiple of 350 and 351

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 351 the smallest integer that is 122850 that is divisible by both numbers.

Least Common Multiple (LCM) of 350 and 351 is 122850.

LCM(350,351) = 122850

LCM of 350 and 351

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

LCM of:
and

Least Common Multiple of 350 and 351

LCM of 350 and 351 is 122850

Least common multiple can be found by multiplying the highest exponent prime factors of 350 and 351. First we will calculate the prime factors of 350 and 351.

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 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 350 and 351.

LCM(350,351) = 21×33×52×71×131
LCM(350,351) = 122850

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 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Least Common Multiple of 350 and 351 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 351, than apply into the LCM equation.

GCF(350,351) = 1
LCM(350,351) = ( 350 × 351) / 1
LCM(350,351) = 122850 / 1
LCM(350,351) = 122850

Properties of LCM 350 and 351

(i) The LCM of 351 and 350 is associative

LCM of 350 and 351 = LCM of 351 and 350

Related Least Common Multiples of 350

Related Least Common Multiples of 351

Frequently Asked Questions on LCM of 350 and 351

1. What is the LCM of 350 and 351?

Answer: LCM of 350 and 351 is 122850.

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 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

4. How to Find the LCM of 350 and 351?

Answer:

Least Common Multiple of 350 and 351 = 122850

Step 1: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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

LCM = 122850 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 350 and 351 is 122850.