Least Common Multiple of 741 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 741 and 749 the smallest integer that is 555009 that is divisible by both numbers.
Least Common Multiple (LCM) of 741 and 749 is 555009.
LCM(741,749) = 555009
LCM of 741 and 749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 741 and 749 by Prime method
- Least Common Multiple of 741 and 749 with GCF Formula
LCM of 741 and 749 is 555009
Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 749. First we will calculate the prime factors of 741 and 749.
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
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 741 and 749.
LCM(741,749) = 31×71×131×191×1071
LCM(741,749) = 555009
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Least Common Multiple of 741 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 741 and 749, than apply into the LCM equation.
GCF(741,749) = 1
LCM(741,749) = ( 741 × 749) / 1
LCM(741,749) = 555009 / 1
LCM(741,749) = 555009
Properties of LCM 741 and 749
(i) The LCM of 749 and 741 is associative
LCM of 741 and 749 = LCM of 749 and 741
Related Least Common Multiples of 741
Related Least Common Multiples of 749
Frequently Asked Questions on LCM of 741 and 749
1. What is the LCM of 741 and 749?
Answer: LCM of 741 and 749 is 555009.
2. 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.
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 741 and 749?
Answer:
Least Common Multiple of 741 and 749 = 555009
Step 1: Find the prime factorization of 741
741 = 3 x 13 x 19
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 = 555009 = 3 x 7 x 13 x 19 x 107
Step 4: Therefore, the least common multiple of 741 and 749 is 555009.