Least Common Multiple of 244 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 244 and 250 the smallest integer that is 30500 that is divisible by both numbers.

Least Common Multiple (LCM) of 244 and 250 is 30500.

LCM(244,250) = 30500

LCM of 244 and 250

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

LCM of:
and

Least Common Multiple of 244 and 250

LCM of 244 and 250 is 30500

Least common multiple can be found by multiplying the highest exponent prime factors of 244 and 250. First we will calculate the prime factors of 244 and 250.

Prime Factorization of 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

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 244 and 250.

LCM(244,250) = 22×53×611
LCM(244,250) = 30500

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

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 244 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 244 and 250, than apply into the LCM equation.

GCF(244,250) = 2
LCM(244,250) = ( 244 × 250) / 2
LCM(244,250) = 61000 / 2
LCM(244,250) = 30500

Properties of LCM 244 and 250

(i) The LCM of 250 and 244 is associative

LCM of 244 and 250 = LCM of 250 and 244

Related Least Common Multiples of 244

Related Least Common Multiples of 250

Frequently Asked Questions on LCM of 244 and 250

1. What is the LCM of 244 and 250?

Answer: LCM of 244 and 250 is 30500.

2. What are the Factors of 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

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 244 and 250?

Answer:

Least Common Multiple of 244 and 250 = 30500

Step 1: Find the prime factorization of 244

244 = 2 x 2 x 61

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 = 30500 = 2 x 2 x 5 x 5 x 5 x 61

Step 4: Therefore, the least common multiple of 244 and 250 is 30500.