Free LCM Calculator determines the least common multiple (LCM) between 720 and 727 the smallest integer that is 523440 that is divisible by both numbers.
Least Common Multiple (LCM) of 720 and 727 is 523440.
LCM(720,727) = 523440
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 720 and 727. First we will calculate the prime factors of 720 and 727.
Prime Factorization of 720
| 2 | 720 |
| 2 | 360 |
| 2 | 180 |
| 2 | 90 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 720 are 2, 3,5. Prime factorization of 720 in exponential form is:
720 = 24×32×51
Prime Factorization of 727
| 727 | 727 |
| 1 |
Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:
727 = 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 727.
LCM(720,727) = 24×32×51×7271
LCM(720,727) = 523440
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1, 727
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 720 and 727, than apply into the LCM equation.
GCF(720,727) = 1
LCM(720,727) = ( 720 × 727) / 1
LCM(720,727) = 523440 / 1
LCM(720,727) = 523440
(i) The LCM of 727 and 720 is associative
LCM of 720 and 727 = LCM of 727 and 720
1. What is the LCM of 720 and 727?
Answer: LCM of 720 and 727 is 523440.
2. What are the Factors of 720?
Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.
3. What are the Factors of 727?
Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.
4. How to Find the LCM of 720 and 727?
Answer:
Least Common Multiple of 720 and 727 = 523440
Step 1: Find the prime factorization of 720
720 = 2 x 2 x 2 x 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 727
727 = 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 523440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 727
Step 4: Therefore, the least common multiple of 720 and 727 is 523440.