Least Common Multiple of 927 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 927 and 930 the smallest integer that is 287370 that is divisible by both numbers.
Least Common Multiple (LCM) of 927 and 930 is 287370.
LCM(927,930) = 287370
LCM of 927 and 930
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 927 and 930 by Prime method
- Least Common Multiple of 927 and 930 with GCF Formula
LCM of 927 and 930 is 287370
Least common multiple can be found by multiplying the highest exponent prime factors of 927 and 930. First we will calculate the prime factors of 927 and 930.
Prime Factorization of 927
| 3 | 927 |
| 3 | 309 |
| 103 | 103 |
| 1 |
Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:
927 = 32×1031
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 927 and 930.
LCM(927,930) = 21×32×51×311×1031
LCM(927,930) = 287370
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
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 927 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 927 and 930, than apply into the LCM equation.
GCF(927,930) = 3
LCM(927,930) = ( 927 × 930) / 3
LCM(927,930) = 862110 / 3
LCM(927,930) = 287370
Properties of LCM 927 and 930
(i) The LCM of 930 and 927 is associative
LCM of 927 and 930 = LCM of 930 and 927
Related Least Common Multiples of 927
Related Least Common Multiples of 930
Frequently Asked Questions on LCM of 927 and 930
1. What is the LCM of 927 and 930?
Answer: LCM of 927 and 930 is 287370.
2. What are the Factors of 927?
Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.
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 927 and 930?
Answer:
Least Common Multiple of 927 and 930 = 287370
Step 1: Find the prime factorization of 927
927 = 3 x 3 x 103
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 = 287370 = 2 x 3 x 3 x 5 x 31 x 103
Step 4: Therefore, the least common multiple of 927 and 930 is 287370.