Least Common Multiple of 240 and 247

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 247 the smallest integer that is 59280 that is divisible by both numbers.

Least Common Multiple (LCM) of 240 and 247 is 59280.

LCM(240,247) = 59280

LCM of 240 and 247

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

LCM of:
and

Least Common Multiple of 240 and 247

LCM of 240 and 247 is 59280

Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 247. First we will calculate the prime factors of 240 and 247.

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 247


13 247
19 19
1

Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:

247 = 131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 240 and 247.

LCM(240,247) = 24×31×51×131×191
LCM(240,247) = 59280

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 247

List of positive integer factors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Least Common Multiple of 240 and 247 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 247, than apply into the LCM equation.

GCF(240,247) = 1
LCM(240,247) = ( 240 × 247) / 1
LCM(240,247) = 59280 / 1
LCM(240,247) = 59280

Properties of LCM 240 and 247

(i) The LCM of 247 and 240 is associative

LCM of 240 and 247 = LCM of 247 and 240

Related Least Common Multiples of 240

Related Least Common Multiples of 247

Frequently Asked Questions on LCM of 240 and 247

1. What is the LCM of 240 and 247?

Answer: LCM of 240 and 247 is 59280.

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 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

4. How to Find the LCM of 240 and 247?

Answer:

Least Common Multiple of 240 and 247 = 59280

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 247

247 = 13 x 19

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

LCM = 59280 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 19

Step 4: Therefore, the least common multiple of 240 and 247 is 59280.