Least Common Multiple of 240 and 246

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 246 the smallest integer that is 9840 that is divisible by both numbers.

Least Common Multiple (LCM) of 240 and 246 is 9840.

LCM(240,246) = 9840

LCM of 240 and 246

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

LCM of:
and

Least Common Multiple of 240 and 246

LCM of 240 and 246 is 9840

Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 246. First we will calculate the prime factors of 240 and 246.

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 246


2 246
3 123
41 41
1

Prime factors of 246 are 2, 3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 240 and 246.

LCM(240,246) = 24×31×51×411
LCM(240,246) = 9840

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 246

List of positive integer factors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Least Common Multiple of 240 and 246 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 246, than apply into the LCM equation.

GCF(240,246) = 6
LCM(240,246) = ( 240 × 246) / 6
LCM(240,246) = 59040 / 6
LCM(240,246) = 9840

Properties of LCM 240 and 246

(i) The LCM of 246 and 240 is associative

LCM of 240 and 246 = LCM of 246 and 240

Related Least Common Multiples of 240

Related Least Common Multiples of 246

Frequently Asked Questions on LCM of 240 and 246

1. What is the LCM of 240 and 246?

Answer: LCM of 240 and 246 is 9840.

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 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

4. How to Find the LCM of 240 and 246?

Answer:

Least Common Multiple of 240 and 246 = 9840

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 246

246 = 2 x 3 x 41

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

LCM = 9840 = 2 x 2 x 2 x 2 x 3 x 5 x 41

Step 4: Therefore, the least common multiple of 240 and 246 is 9840.