Least Common Multiple of 240 and 248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 240 and 248 the smallest integer that is 7440 that is divisible by both numbers.

Least Common Multiple (LCM) of 240 and 248 is 7440.

LCM(240,248) = 7440

LCM of 240 and 248

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

LCM of:
and

Least Common Multiple of 240 and 248

LCM of 240 and 248 is 7440

Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 248. First we will calculate the prime factors of 240 and 248.

Prime Factorization of 240


2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 240 are 2, 3,5. Prime factorization of 240 in exponential form is:

240 = 24×31×51

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

Now multiplying the highest exponent prime factors to calculate the LCM of 240 and 248.

LCM(240,248) = 24×31×51×311
LCM(240,248) = 7440

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Factors of 248

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

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

Least Common Multiple of 240 and 248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 240 and 248, than apply into the LCM equation.

GCF(240,248) = 8
LCM(240,248) = ( 240 × 248) / 8
LCM(240,248) = 59520 / 8
LCM(240,248) = 7440

Properties of LCM 240 and 248

(i) The LCM of 248 and 240 is associative

LCM of 240 and 248 = LCM of 248 and 240

Related Least Common Multiples of 240

Related Least Common Multiples of 248

Frequently Asked Questions on LCM of 240 and 248

1. What is the LCM of 240 and 248?

Answer: LCM of 240 and 248 is 7440.

2. What are the Factors of 240?

Answer: Factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. There are 20 integers that are factors of 240. The greatest factor of 240 is 240.

3. 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.

4. How to Find the LCM of 240 and 248?

Answer:

Least Common Multiple of 240 and 248 = 7440

Step 1: Find the prime factorization of 240

240 = 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

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

LCM = 7440 = 2 x 2 x 2 x 2 x 3 x 5 x 31

Step 4: Therefore, the least common multiple of 240 and 248 is 7440.