Least Common Multiple of 240 and 245

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 245 the smallest integer that is 11760 that is divisible by both numbers.

Least Common Multiple (LCM) of 240 and 245 is 11760.

LCM(240,245) = 11760

LCM of 240 and 245

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

LCM of:
and

Least Common Multiple of 240 and 245

LCM of 240 and 245 is 11760

Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 245. First we will calculate the prime factors of 240 and 245.

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 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 240 and 245.

LCM(240,245) = 24×31×51×72
LCM(240,245) = 11760

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 245

List of positive integer factors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Least Common Multiple of 240 and 245 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 245, than apply into the LCM equation.

GCF(240,245) = 5
LCM(240,245) = ( 240 × 245) / 5
LCM(240,245) = 58800 / 5
LCM(240,245) = 11760

Properties of LCM 240 and 245

(i) The LCM of 245 and 240 is associative

LCM of 240 and 245 = LCM of 245 and 240

Related Least Common Multiples of 240

Related Least Common Multiples of 245

Frequently Asked Questions on LCM of 240 and 245

1. What is the LCM of 240 and 245?

Answer: LCM of 240 and 245 is 11760.

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 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

4. How to Find the LCM of 240 and 245?

Answer:

Least Common Multiple of 240 and 245 = 11760

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 245

245 = 5 x 7 x 7

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

LCM = 11760 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7

Step 4: Therefore, the least common multiple of 240 and 245 is 11760.