Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 492 and 503 the smallest integer that is 247476 that is divisible by both numbers.
Least Common Multiple (LCM) of 492 and 503 is 247476.
LCM(492,503) = 247476
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 492 and 503. First we will calculate the prime factors of 492 and 503.
Prime Factorization of 492
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 492 are 2, 3,41. Prime factorization of 492 in exponential form is:
492 = 22×31×411
Prime Factorization of 503
503 | 503 |
1 |
Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:
503 = 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 492 and 503.
LCM(492,503) = 22×31×411×5031
LCM(492,503) = 247476
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1, 503
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 492 and 503, than apply into the LCM equation.
GCF(492,503) = 1
LCM(492,503) = ( 492 × 503) / 1
LCM(492,503) = 247476 / 1
LCM(492,503) = 247476
(i) The LCM of 503 and 492 is associative
LCM of 492 and 503 = LCM of 503 and 492
1. What is the LCM of 492 and 503?
Answer: LCM of 492 and 503 is 247476.
2. What are the Factors of 492?
Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.
3. What are the Factors of 503?
Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.
4. How to Find the LCM of 492 and 503?
Answer:
Least Common Multiple of 492 and 503 = 247476
Step 1: Find the prime factorization of 492
492 = 2 x 2 x 3 x 41
Step 2: Find the prime factorization of 503
503 = 503
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 247476 = 2 x 2 x 3 x 41 x 503
Step 4: Therefore, the least common multiple of 492 and 503 is 247476.