Least Common Multiple of 248 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 248 and 250 the smallest integer that is 31000 that is divisible by both numbers.

Least Common Multiple (LCM) of 248 and 250 is 31000.

LCM(248,250) = 31000

LCM of 248 and 250

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

LCM of:
and

Least Common Multiple of 248 and 250

LCM of 248 and 250 is 31000

Least common multiple can be found by multiplying the highest exponent prime factors of 248 and 250. First we will calculate the prime factors of 248 and 250.

Prime Factorization of 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

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 248 and 250.

LCM(248,250) = 23×53×311
LCM(248,250) = 31000

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 248 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 248 and 250, than apply into the LCM equation.

GCF(248,250) = 2
LCM(248,250) = ( 248 × 250) / 2
LCM(248,250) = 62000 / 2
LCM(248,250) = 31000

Properties of LCM 248 and 250

(i) The LCM of 250 and 248 is associative

LCM of 248 and 250 = LCM of 250 and 248

Related Least Common Multiples of 248

Related Least Common Multiples of 250

Frequently Asked Questions on LCM of 248 and 250

1. What is the LCM of 248 and 250?

Answer: LCM of 248 and 250 is 31000.

2. What are the Factors of 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

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 248 and 250?

Answer:

Least Common Multiple of 248 and 250 = 31000

Step 1: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

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 = 31000 = 2 x 2 x 2 x 5 x 5 x 5 x 31

Step 4: Therefore, the least common multiple of 248 and 250 is 31000.