Least Common Multiple of 250 and 255
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 250 and 255 the smallest integer that is 12750 that is divisible by both numbers.
Least Common Multiple (LCM) of 250 and 255 is 12750.
LCM(250,255) = 12750
LCM of 250 and 255
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 250 and 255 by Prime method
- Least Common Multiple of 250 and 255 with GCF Formula
LCM of 250 and 255 is 12750
Least common multiple can be found by multiplying the highest exponent prime factors of 250 and 255. First we will calculate the prime factors of 250 and 255.
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
Prime Factorization of 255
| 3 | 255 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 255 are 3, 5,17. Prime factorization of 255 in exponential form is:
255 = 31×51×171
Now multiplying the highest exponent prime factors to calculate the LCM of 250 and 255.
LCM(250,255) = 21×31×53×171
LCM(250,255) = 12750
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Least Common Multiple of 250 and 255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 250 and 255, than apply into the LCM equation.
GCF(250,255) = 5
LCM(250,255) = ( 250 × 255) / 5
LCM(250,255) = 63750 / 5
LCM(250,255) = 12750
Properties of LCM 250 and 255
(i) The LCM of 255 and 250 is associative
LCM of 250 and 255 = LCM of 255 and 250
Related Least Common Multiples of 250
Related Least Common Multiples of 255
Frequently Asked Questions on LCM of 250 and 255
1. What is the LCM of 250 and 255?
Answer: LCM of 250 and 255 is 12750.
2. 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.
3. What are the Factors of 255?
Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.
4. How to Find the LCM of 250 and 255?
Answer:
Least Common Multiple of 250 and 255 = 12750
Step 1: Find the prime factorization of 250
250 = 2 x 5 x 5 x 5
Step 2: Find the prime factorization of 255
255 = 3 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12750 = 2 x 3 x 5 x 5 x 5 x 17
Step 4: Therefore, the least common multiple of 250 and 255 is 12750.
