Least Common Multiple of 925 and 930
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 930 the smallest integer that is 172050 that is divisible by both numbers.
Least Common Multiple (LCM) of 925 and 930 is 172050.
LCM(925,930) = 172050
LCM of 925 and 930
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 925 and 930 by Prime method
- Least Common Multiple of 925 and 930 with GCF Formula
LCM of 925 and 930 is 172050
Least common multiple can be found by multiplying the highest exponent prime factors of 925 and 930. First we will calculate the prime factors of 925 and 930.
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 930
| 2 | 930 |
| 3 | 465 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 930 are 2, 3, 5,31. Prime factorization of 930 in exponential form is:
930 = 21×31×51×311
Now multiplying the highest exponent prime factors to calculate the LCM of 925 and 930.
LCM(925,930) = 21×31×52×311×371
LCM(925,930) = 172050
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Least Common Multiple of 925 and 930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 925 and 930, than apply into the LCM equation.
GCF(925,930) = 5
LCM(925,930) = ( 925 × 930) / 5
LCM(925,930) = 860250 / 5
LCM(925,930) = 172050
Properties of LCM 925 and 930
(i) The LCM of 930 and 925 is associative
LCM of 925 and 930 = LCM of 930 and 925
Related Least Common Multiples of 925
Related Least Common Multiples of 930
Frequently Asked Questions on LCM of 925 and 930
1. What is the LCM of 925 and 930?
Answer: LCM of 925 and 930 is 172050.
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 930?
Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.
4. How to Find the LCM of 925 and 930?
Answer:
Least Common Multiple of 925 and 930 = 172050
Step 1: Find the prime factorization of 925
925 = 5 x 5 x 37
Step 2: Find the prime factorization of 930
930 = 2 x 3 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 172050 = 2 x 3 x 5 x 5 x 31 x 37
Step 4: Therefore, the least common multiple of 925 and 930 is 172050.
