Least Common Multiple of 455 and 461
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 455 and 461 the smallest integer that is 209755 that is divisible by both numbers.
Least Common Multiple (LCM) of 455 and 461 is 209755.
LCM(455,461) = 209755
LCM of 455 and 461
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 455 and 461 by Prime method
- Least Common Multiple of 455 and 461 with GCF Formula
LCM of 455 and 461 is 209755
Least common multiple can be found by multiplying the highest exponent prime factors of 455 and 461. First we will calculate the prime factors of 455 and 461.
Prime Factorization of 455
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:
455 = 51×71×131
Prime Factorization of 461
| 461 | 461 |
| 1 |
Prime factors of 461 are 461. Prime factorization of 461 in exponential form is:
461 = 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 455 and 461.
LCM(455,461) = 51×71×131×4611
LCM(455,461) = 209755
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1, 461
Least Common Multiple of 455 and 461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 455 and 461, than apply into the LCM equation.
GCF(455,461) = 1
LCM(455,461) = ( 455 × 461) / 1
LCM(455,461) = 209755 / 1
LCM(455,461) = 209755
Properties of LCM 455 and 461
(i) The LCM of 461 and 455 is associative
LCM of 455 and 461 = LCM of 461 and 455
Related Least Common Multiples of 455
Related Least Common Multiples of 461
Frequently Asked Questions on LCM of 455 and 461
1. What is the LCM of 455 and 461?
Answer: LCM of 455 and 461 is 209755.
2. What are the Factors of 455?
Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.
3. What are the Factors of 461?
Answer: Factors of 461 are 1, 461. There are 2 integers that are factors of 461. The greatest factor of 461 is 461.
4. How to Find the LCM of 455 and 461?
Answer:
Least Common Multiple of 455 and 461 = 209755
Step 1: Find the prime factorization of 455
455 = 5 x 7 x 13
Step 2: Find the prime factorization of 461
461 = 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 209755 = 5 x 7 x 13 x 461
Step 4: Therefore, the least common multiple of 455 and 461 is 209755.
