Least Common Multiple of 478 and 481
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 478 and 481 the smallest integer that is 229918 that is divisible by both numbers.
Least Common Multiple (LCM) of 478 and 481 is 229918.
LCM(478,481) = 229918
LCM of 478 and 481
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 478 and 481 by Prime method
- Least Common Multiple of 478 and 481 with GCF Formula
LCM of 478 and 481 is 229918
Least common multiple can be found by multiplying the highest exponent prime factors of 478 and 481. First we will calculate the prime factors of 478 and 481.
Prime Factorization of 478
| 2 | 478 |
| 239 | 239 |
| 1 |
Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:
478 = 21×2391
Prime Factorization of 481
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:
481 = 131×371
Now multiplying the highest exponent prime factors to calculate the LCM of 478 and 481.
LCM(478,481) = 21×131×371×2391
LCM(478,481) = 229918
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Least Common Multiple of 478 and 481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 478 and 481, than apply into the LCM equation.
GCF(478,481) = 1
LCM(478,481) = ( 478 × 481) / 1
LCM(478,481) = 229918 / 1
LCM(478,481) = 229918
Properties of LCM 478 and 481
(i) The LCM of 481 and 478 is associative
LCM of 478 and 481 = LCM of 481 and 478
Related Least Common Multiples of 478
Related Least Common Multiples of 481
Frequently Asked Questions on LCM of 478 and 481
1. What is the LCM of 478 and 481?
Answer: LCM of 478 and 481 is 229918.
2. What are the Factors of 478?
Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.
3. What are the Factors of 481?
Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.
4. How to Find the LCM of 478 and 481?
Answer:
Least Common Multiple of 478 and 481 = 229918
Step 1: Find the prime factorization of 478
478 = 2 x 239
Step 2: Find the prime factorization of 481
481 = 13 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 229918 = 2 x 13 x 37 x 239
Step 4: Therefore, the least common multiple of 478 and 481 is 229918.
