Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 925 and 928 the smallest integer that is 858400 that is divisible by both numbers.
Least Common Multiple (LCM) of 925 and 928 is 858400.
LCM(925,928) = 858400
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 925 and 928. First we will calculate the prime factors of 925 and 928.
Prime Factorization of 925
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 925 are 5,37. Prime factorization of 925 in exponential form is:
925 = 52×371
Prime Factorization of 928
2 | 928 |
2 | 464 |
2 | 232 |
2 | 116 |
2 | 58 |
29 | 29 |
1 |
Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:
928 = 25×291
Now multiplying the highest exponent prime factors to calculate the LCM of 925 and 928.
LCM(925,928) = 25×52×291×371
LCM(925,928) = 858400
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 925 and 928, than apply into the LCM equation.
GCF(925,928) = 1
LCM(925,928) = ( 925 × 928) / 1
LCM(925,928) = 858400 / 1
LCM(925,928) = 858400
(i) The LCM of 928 and 925 is associative
LCM of 925 and 928 = LCM of 928 and 925
1. What is the LCM of 925 and 928?
Answer: LCM of 925 and 928 is 858400.
2. What are the Factors of 925?
Answer: Factors of 925 are 1, 5, 25, 37, 185, 925. There are 6 integers that are factors of 925. The greatest factor of 925 is 925.
3. What are the Factors of 928?
Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.
4. How to Find the LCM of 925 and 928?
Answer:
Least Common Multiple of 925 and 928 = 858400
Step 1: Find the prime factorization of 925
925 = 5 x 5 x 37
Step 2: Find the prime factorization of 928
928 = 2 x 2 x 2 x 2 x 2 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 858400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 29 x 37
Step 4: Therefore, the least common multiple of 925 and 928 is 858400.