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 479 the smallest integer that is 228962 that is divisible by both numbers.
Least Common Multiple (LCM) of 478 and 479 is 228962.
LCM(478,479) = 228962
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 478 and 479. First we will calculate the prime factors of 478 and 479.
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 479
479 | 479 |
1 |
Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:
479 = 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 478 and 479.
LCM(478,479) = 21×2391×4791
LCM(478,479) = 228962
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1, 479
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 478 and 479, than apply into the LCM equation.
GCF(478,479) = 1
LCM(478,479) = ( 478 × 479) / 1
LCM(478,479) = 228962 / 1
LCM(478,479) = 228962
(i) The LCM of 479 and 478 is associative
LCM of 478 and 479 = LCM of 479 and 478
1. What is the LCM of 478 and 479?
Answer: LCM of 478 and 479 is 228962.
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 479?
Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.
4. How to Find the LCM of 478 and 479?
Answer:
Least Common Multiple of 478 and 479 = 228962
Step 1: Find the prime factorization of 478
478 = 2 x 239
Step 2: Find the prime factorization of 479
479 = 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 228962 = 2 x 239 x 479
Step 4: Therefore, the least common multiple of 478 and 479 is 228962.