Least Common Multiple of 930 and 931
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 930 and 931 the smallest integer that is 865830 that is divisible by both numbers.
Least Common Multiple (LCM) of 930 and 931 is 865830.
LCM(930,931) = 865830
LCM of 930 and 931
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 930 and 931 by Prime method
- Least Common Multiple of 930 and 931 with GCF Formula
LCM of 930 and 931 is 865830
Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 931. First we will calculate the prime factors of 930 and 931.
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
Prime Factorization of 931
| 7 | 931 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:
931 = 72×191
Now multiplying the highest exponent prime factors to calculate the LCM of 930 and 931.
LCM(930,931) = 21×31×51×72×191×311
LCM(930,931) = 865830
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
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Least Common Multiple of 930 and 931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 930 and 931, than apply into the LCM equation.
GCF(930,931) = 1
LCM(930,931) = ( 930 × 931) / 1
LCM(930,931) = 865830 / 1
LCM(930,931) = 865830
Properties of LCM 930 and 931
(i) The LCM of 931 and 930 is associative
LCM of 930 and 931 = LCM of 931 and 930
Related Least Common Multiples of 930
Related Least Common Multiples of 931
Frequently Asked Questions on LCM of 930 and 931
1. What is the LCM of 930 and 931?
Answer: LCM of 930 and 931 is 865830.
2. 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.
3. What are the Factors of 931?
Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.
4. How to Find the LCM of 930 and 931?
Answer:
Least Common Multiple of 930 and 931 = 865830
Step 1: Find the prime factorization of 930
930 = 2 x 3 x 5 x 31
Step 2: Find the prime factorization of 931
931 = 7 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 865830 = 2 x 3 x 5 x 7 x 7 x 19 x 31
Step 4: Therefore, the least common multiple of 930 and 931 is 865830.