Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 931 and 938 the smallest integer that is 124754 that is divisible by both numbers.
Least Common Multiple (LCM) of 931 and 938 is 124754.
LCM(931,938) = 124754
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 931 and 938. First we will calculate the prime factors of 931 and 938.
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
Prime Factorization of 938
2 | 938 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 938 are 2, 7,67. Prime factorization of 938 in exponential form is:
938 = 21×71×671
Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 938.
LCM(931,938) = 21×72×191×671
LCM(931,938) = 124754
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 931 and 938, than apply into the LCM equation.
GCF(931,938) = 7
LCM(931,938) = ( 931 × 938) / 7
LCM(931,938) = 873278 / 7
LCM(931,938) = 124754
(i) The LCM of 938 and 931 is associative
LCM of 931 and 938 = LCM of 938 and 931
1. What is the LCM of 931 and 938?
Answer: LCM of 931 and 938 is 124754.
2. 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.
3. What are the Factors of 938?
Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.
4. How to Find the LCM of 931 and 938?
Answer:
Least Common Multiple of 931 and 938 = 124754
Step 1: Find the prime factorization of 931
931 = 7 x 7 x 19
Step 2: Find the prime factorization of 938
938 = 2 x 7 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 124754 = 2 x 7 x 7 x 19 x 67
Step 4: Therefore, the least common multiple of 931 and 938 is 124754.