Least Common Multiple of 242 and 250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 242 and 250 the smallest integer that is 30250 that is divisible by both numbers.

Least Common Multiple (LCM) of 242 and 250 is 30250.

LCM(242,250) = 30250

LCM of 242 and 250

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

LCM of:
and

Least Common Multiple of 242 and 250

LCM of 242 and 250 is 30250

Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 250. First we will calculate the prime factors of 242 and 250.

Prime Factorization of 242


2 242
11 121
11 11
1

Prime factors of 242 are 2,11. Prime factorization of 242 in exponential form is:

242 = 21×112

Prime Factorization of 250


2 250
5 125
5 25
5 5
1

Prime factors of 250 are 2,5. Prime factorization of 250 in exponential form is:

250 = 21×53

Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 250.

LCM(242,250) = 21×53×112
LCM(242,250) = 30250

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Least Common Multiple of 242 and 250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 242 and 250, than apply into the LCM equation.

GCF(242,250) = 2
LCM(242,250) = ( 242 × 250) / 2
LCM(242,250) = 60500 / 2
LCM(242,250) = 30250

Properties of LCM 242 and 250

(i) The LCM of 250 and 242 is associative

LCM of 242 and 250 = LCM of 250 and 242

Related Least Common Multiples of 242

Related Least Common Multiples of 250

Frequently Asked Questions on LCM of 242 and 250

1. What is the LCM of 242 and 250?

Answer: LCM of 242 and 250 is 30250.

2. What are the Factors of 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

3. What are the Factors of 250?

Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.

4. How to Find the LCM of 242 and 250?

Answer:

Least Common Multiple of 242 and 250 = 30250

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 2: Find the prime factorization of 250

250 = 2 x 5 x 5 x 5

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

LCM = 30250 = 2 x 5 x 5 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 242 and 250 is 30250.