Least Common Multiple of 243 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 243 and 250 the smallest integer that is 60750 that is divisible by both numbers.

Least Common Multiple (LCM) of 243 and 250 is 60750.

LCM(243,250) = 60750

LCM of 243 and 250

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

LCM of:
and

Least Common Multiple of 243 and 250

LCM of 243 and 250 is 60750

Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 250. First we will calculate the prime factors of 243 and 250.

Prime Factorization of 243


3 243
3 81
3 27
3 9
3 3
1

Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:

243 = 35

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 243 and 250.

LCM(243,250) = 21×35×53
LCM(243,250) = 60750

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 243 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 243 and 250, than apply into the LCM equation.

GCF(243,250) = 1
LCM(243,250) = ( 243 × 250) / 1
LCM(243,250) = 60750 / 1
LCM(243,250) = 60750

Properties of LCM 243 and 250

(i) The LCM of 250 and 243 is associative

LCM of 243 and 250 = LCM of 250 and 243

Related Least Common Multiples of 243

Related Least Common Multiples of 250

Frequently Asked Questions on LCM of 243 and 250

1. What is the LCM of 243 and 250?

Answer: LCM of 243 and 250 is 60750.

2. What are the Factors of 243?

Answer: Factors of 243 are 1, 3, 9, 27, 81, 243. There are 6 integers that are factors of 243. The greatest factor of 243 is 243.

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 243 and 250?

Answer:

Least Common Multiple of 243 and 250 = 60750

Step 1: Find the prime factorization of 243

243 = 3 x 3 x 3 x 3 x 3

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 = 60750 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5

Step 4: Therefore, the least common multiple of 243 and 250 is 60750.