Least Common Multiple of 744 and 749
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 744 and 749 the smallest integer that is 557256 that is divisible by both numbers.
Least Common Multiple (LCM) of 744 and 749 is 557256.
LCM(744,749) = 557256
LCM of 744 and 749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 744 and 749 by Prime method
- Least Common Multiple of 744 and 749 with GCF Formula
LCM of 744 and 749 is 557256
Least common multiple can be found by multiplying the highest exponent prime factors of 744 and 749. First we will calculate the prime factors of 744 and 749.
Prime Factorization of 744
| 2 | 744 |
| 2 | 372 |
| 2 | 186 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 744 are 2, 3,31. Prime factorization of 744 in exponential form is:
744 = 23×31×311
Prime Factorization of 749
| 7 | 749 |
| 107 | 107 |
| 1 |
Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:
749 = 71×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 744 and 749.
LCM(744,749) = 23×31×71×311×1071
LCM(744,749) = 557256
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Least Common Multiple of 744 and 749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 744 and 749, than apply into the LCM equation.
GCF(744,749) = 1
LCM(744,749) = ( 744 × 749) / 1
LCM(744,749) = 557256 / 1
LCM(744,749) = 557256
Properties of LCM 744 and 749
(i) The LCM of 749 and 744 is associative
LCM of 744 and 749 = LCM of 749 and 744
Related Least Common Multiples of 744
Related Least Common Multiples of 749
Frequently Asked Questions on LCM of 744 and 749
1. What is the LCM of 744 and 749?
Answer: LCM of 744 and 749 is 557256.
2. What are the Factors of 744?
Answer: Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. There are 16 integers that are factors of 744. The greatest factor of 744 is 744.
3. What are the Factors of 749?
Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.
4. How to Find the LCM of 744 and 749?
Answer:
Least Common Multiple of 744 and 749 = 557256
Step 1: Find the prime factorization of 744
744 = 2 x 2 x 2 x 3 x 31
Step 2: Find the prime factorization of 749
749 = 7 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 557256 = 2 x 2 x 2 x 3 x 7 x 31 x 107
Step 4: Therefore, the least common multiple of 744 and 749 is 557256.