Least Common Multiple of 611 and 615
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 611 and 615 the smallest integer that is 375765 that is divisible by both numbers.
Least Common Multiple (LCM) of 611 and 615 is 375765.
LCM(611,615) = 375765
LCM of 611 and 615
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 611 and 615 by Prime method
- Least Common Multiple of 611 and 615 with GCF Formula
LCM of 611 and 615 is 375765
Least common multiple can be found by multiplying the highest exponent prime factors of 611 and 615. First we will calculate the prime factors of 611 and 615.
Prime Factorization of 611
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:
611 = 131×471
Prime Factorization of 615
| 3 | 615 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 615 are 3, 5,41. Prime factorization of 615 in exponential form is:
615 = 31×51×411
Now multiplying the highest exponent prime factors to calculate the LCM of 611 and 615.
LCM(611,615) = 31×51×131×411×471
LCM(611,615) = 375765
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Least Common Multiple of 611 and 615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 611 and 615, than apply into the LCM equation.
GCF(611,615) = 1
LCM(611,615) = ( 611 × 615) / 1
LCM(611,615) = 375765 / 1
LCM(611,615) = 375765
Properties of LCM 611 and 615
(i) The LCM of 615 and 611 is associative
LCM of 611 and 615 = LCM of 615 and 611
Related Least Common Multiples of 611
Related Least Common Multiples of 615
Frequently Asked Questions on LCM of 611 and 615
1. What is the LCM of 611 and 615?
Answer: LCM of 611 and 615 is 375765.
2. What are the Factors of 611?
Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.
3. What are the Factors of 615?
Answer: Factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615. There are 8 integers that are factors of 615. The greatest factor of 615 is 615.
4. How to Find the LCM of 611 and 615?
Answer:
Least Common Multiple of 611 and 615 = 375765
Step 1: Find the prime factorization of 611
611 = 13 x 47
Step 2: Find the prime factorization of 615
615 = 3 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 375765 = 3 x 5 x 13 x 41 x 47
Step 4: Therefore, the least common multiple of 611 and 615 is 375765.