Least Common Multiple of 245 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 245 and 250 the smallest integer that is 12250 that is divisible by both numbers.
Least Common Multiple (LCM) of 245 and 250 is 12250.
LCM(245,250) = 12250
LCM of 245 and 250
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 245 and 250 by Prime method
- Least Common Multiple of 245 and 250 with GCF Formula
LCM of 245 and 250 is 12250
Least common multiple can be found by multiplying the highest exponent prime factors of 245 and 250. First we will calculate the prime factors of 245 and 250.
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
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 245 and 250.
LCM(245,250) = 21×53×72
LCM(245,250) = 12250
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
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 245 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 245 and 250, than apply into the LCM equation.
GCF(245,250) = 5
LCM(245,250) = ( 245 × 250) / 5
LCM(245,250) = 61250 / 5
LCM(245,250) = 12250
Properties of LCM 245 and 250
(i) The LCM of 250 and 245 is associative
LCM of 245 and 250 = LCM of 250 and 245
Related Least Common Multiples of 245
Related Least Common Multiples of 250
Frequently Asked Questions on LCM of 245 and 250
1. What is the LCM of 245 and 250?
Answer: LCM of 245 and 250 is 12250.
2. 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.
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 245 and 250?
Answer:
Least Common Multiple of 245 and 250 = 12250
Step 1: Find the prime factorization of 245
245 = 5 x 7 x 7
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 = 12250 = 2 x 5 x 5 x 5 x 7 x 7
Step 4: Therefore, the least common multiple of 245 and 250 is 12250.
