Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 469 and 476 the smallest integer that is 31892 that is divisible by both numbers.
Least Common Multiple (LCM) of 469 and 476 is 31892.
LCM(469,476) = 31892
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 469 and 476. First we will calculate the prime factors of 469 and 476.
Prime Factorization of 469
7 | 469 |
67 | 67 |
1 |
Prime factors of 469 are 7,67. Prime factorization of 469 in exponential form is:
469 = 71×671
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 469 and 476.
LCM(469,476) = 22×71×171×671
LCM(469,476) = 31892
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1, 7, 67, 469
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 469 and 476, than apply into the LCM equation.
GCF(469,476) = 7
LCM(469,476) = ( 469 × 476) / 7
LCM(469,476) = 223244 / 7
LCM(469,476) = 31892
(i) The LCM of 476 and 469 is associative
LCM of 469 and 476 = LCM of 476 and 469
1. What is the LCM of 469 and 476?
Answer: LCM of 469 and 476 is 31892.
2. What are the Factors of 469?
Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.
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 469 and 476?
Answer:
Least Common Multiple of 469 and 476 = 31892
Step 1: Find the prime factorization of 469
469 = 7 x 67
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 = 31892 = 2 x 2 x 7 x 17 x 67
Step 4: Therefore, the least common multiple of 469 and 476 is 31892.