Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 471 and 476 the smallest integer that is 224196 that is divisible by both numbers.
Least Common Multiple (LCM) of 471 and 476 is 224196.
LCM(471,476) = 224196
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 471 and 476. First we will calculate the prime factors of 471 and 476.
Prime Factorization of 471
3 | 471 |
157 | 157 |
1 |
Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:
471 = 31×1571
Prime Factorization of 476
2 | 476 |
2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 476 are 2, 7,17. Prime factorization of 476 in exponential form is:
476 = 22×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 471 and 476.
LCM(471,476) = 22×31×71×171×1571
LCM(471,476) = 224196
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 471 and 476, than apply into the LCM equation.
GCF(471,476) = 1
LCM(471,476) = ( 471 × 476) / 1
LCM(471,476) = 224196 / 1
LCM(471,476) = 224196
(i) The LCM of 476 and 471 is associative
LCM of 471 and 476 = LCM of 476 and 471
1. What is the LCM of 471 and 476?
Answer: LCM of 471 and 476 is 224196.
2. What are the Factors of 471?
Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.
3. What are the Factors of 476?
Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.
4. How to Find the LCM of 471 and 476?
Answer:
Least Common Multiple of 471 and 476 = 224196
Step 1: Find the prime factorization of 471
471 = 3 x 157
Step 2: Find the prime factorization of 476
476 = 2 x 2 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 224196 = 2 x 2 x 3 x 7 x 17 x 157
Step 4: Therefore, the least common multiple of 471 and 476 is 224196.