Least Common Multiple of 477 and 485
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 477 and 485 the smallest integer that is 231345 that is divisible by both numbers.
Least Common Multiple (LCM) of 477 and 485 is 231345.
LCM(477,485) = 231345
LCM of 477 and 485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 477 and 485 by Prime method
- Least Common Multiple of 477 and 485 with GCF Formula
LCM of 477 and 485 is 231345
Least common multiple can be found by multiplying the highest exponent prime factors of 477 and 485. First we will calculate the prime factors of 477 and 485.
Prime Factorization of 477
| 3 | 477 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:
477 = 32×531
Prime Factorization of 485
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:
485 = 51×971
Now multiplying the highest exponent prime factors to calculate the LCM of 477 and 485.
LCM(477,485) = 32×51×531×971
LCM(477,485) = 231345
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Least Common Multiple of 477 and 485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 477 and 485, than apply into the LCM equation.
GCF(477,485) = 1
LCM(477,485) = ( 477 × 485) / 1
LCM(477,485) = 231345 / 1
LCM(477,485) = 231345
Properties of LCM 477 and 485
(i) The LCM of 485 and 477 is associative
LCM of 477 and 485 = LCM of 485 and 477
Related Least Common Multiples of 477
Related Least Common Multiples of 485
Frequently Asked Questions on LCM of 477 and 485
1. What is the LCM of 477 and 485?
Answer: LCM of 477 and 485 is 231345.
2. What are the Factors of 477?
Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.
3. What are the Factors of 485?
Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.
4. How to Find the LCM of 477 and 485?
Answer:
Least Common Multiple of 477 and 485 = 231345
Step 1: Find the prime factorization of 477
477 = 3 x 3 x 53
Step 2: Find the prime factorization of 485
485 = 5 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231345 = 3 x 3 x 5 x 53 x 97
Step 4: Therefore, the least common multiple of 477 and 485 is 231345.