Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 934 and 941 the smallest integer that is 878894 that is divisible by both numbers.
Least Common Multiple (LCM) of 934 and 941 is 878894.
LCM(934,941) = 878894
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 934 and 941. First we will calculate the prime factors of 934 and 941.
Prime Factorization of 934
2 | 934 |
467 | 467 |
1 |
Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:
934 = 21×4671
Prime Factorization of 941
941 | 941 |
1 |
Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:
941 = 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 934 and 941.
LCM(934,941) = 21×4671×9411
LCM(934,941) = 878894
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1, 941
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 934 and 941, than apply into the LCM equation.
GCF(934,941) = 1
LCM(934,941) = ( 934 × 941) / 1
LCM(934,941) = 878894 / 1
LCM(934,941) = 878894
(i) The LCM of 941 and 934 is associative
LCM of 934 and 941 = LCM of 941 and 934
1. What is the LCM of 934 and 941?
Answer: LCM of 934 and 941 is 878894.
2. What are the Factors of 934?
Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.
3. What are the Factors of 941?
Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.
4. How to Find the LCM of 934 and 941?
Answer:
Least Common Multiple of 934 and 941 = 878894
Step 1: Find the prime factorization of 934
934 = 2 x 467
Step 2: Find the prime factorization of 941
941 = 941
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 878894 = 2 x 467 x 941
Step 4: Therefore, the least common multiple of 934 and 941 is 878894.