Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 479 and 485 the smallest integer that is 232315 that is divisible by both numbers.
Least Common Multiple (LCM) of 479 and 485 is 232315.
LCM(479,485) = 232315
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 479 and 485. First we will calculate the prime factors of 479 and 485.
Prime Factorization of 479
479 | 479 |
1 |
Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:
479 = 4791
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 479 and 485.
LCM(479,485) = 51×971×4791
LCM(479,485) = 232315
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1, 479
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1, 5, 97, 485
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 479 and 485, than apply into the LCM equation.
GCF(479,485) = 1
LCM(479,485) = ( 479 × 485) / 1
LCM(479,485) = 232315 / 1
LCM(479,485) = 232315
(i) The LCM of 485 and 479 is associative
LCM of 479 and 485 = LCM of 485 and 479
1. What is the LCM of 479 and 485?
Answer: LCM of 479 and 485 is 232315.
2. What are the Factors of 479?
Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.
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 479 and 485?
Answer:
Least Common Multiple of 479 and 485 = 232315
Step 1: Find the prime factorization of 479
479 = 479
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 = 232315 = 5 x 97 x 479
Step 4: Therefore, the least common multiple of 479 and 485 is 232315.