Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 738 and 741 the smallest integer that is 182286 that is divisible by both numbers.
Least Common Multiple (LCM) of 738 and 741 is 182286.
LCM(738,741) = 182286
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 738 and 741. First we will calculate the prime factors of 738 and 741.
Prime Factorization of 738
2 | 738 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:
738 = 21×32×411
Prime Factorization of 741
3 | 741 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 741 are 3, 13,19. Prime factorization of 741 in exponential form is:
741 = 31×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 738 and 741.
LCM(738,741) = 21×32×131×191×411
LCM(738,741) = 182286
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 738 and 741, than apply into the LCM equation.
GCF(738,741) = 3
LCM(738,741) = ( 738 × 741) / 3
LCM(738,741) = 546858 / 3
LCM(738,741) = 182286
(i) The LCM of 741 and 738 is associative
LCM of 738 and 741 = LCM of 741 and 738
1. What is the LCM of 738 and 741?
Answer: LCM of 738 and 741 is 182286.
2. What are the Factors of 738?
Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.
3. What are the Factors of 741?
Answer: Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. There are 8 integers that are factors of 741. The greatest factor of 741 is 741.
4. How to Find the LCM of 738 and 741?
Answer:
Least Common Multiple of 738 and 741 = 182286
Step 1: Find the prime factorization of 738
738 = 2 x 3 x 3 x 41
Step 2: Find the prime factorization of 741
741 = 3 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 182286 = 2 x 3 x 3 x 13 x 19 x 41
Step 4: Therefore, the least common multiple of 738 and 741 is 182286.