Least Common Multiple of 901 and 905
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 901 and 905 the smallest integer that is 815405 that is divisible by both numbers.
Least Common Multiple (LCM) of 901 and 905 is 815405.
LCM(901,905) = 815405
LCM of 901 and 905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 901 and 905 by Prime method
- Least Common Multiple of 901 and 905 with GCF Formula
LCM of 901 and 905 is 815405
Least common multiple can be found by multiplying the highest exponent prime factors of 901 and 905. First we will calculate the prime factors of 901 and 905.
Prime Factorization of 901
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:
901 = 171×531
Prime Factorization of 905
| 5 | 905 |
| 181 | 181 |
| 1 |
Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:
905 = 51×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 901 and 905.
LCM(901,905) = 51×171×531×1811
LCM(901,905) = 815405
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Least Common Multiple of 901 and 905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 901 and 905, than apply into the LCM equation.
GCF(901,905) = 1
LCM(901,905) = ( 901 × 905) / 1
LCM(901,905) = 815405 / 1
LCM(901,905) = 815405
Properties of LCM 901 and 905
(i) The LCM of 905 and 901 is associative
LCM of 901 and 905 = LCM of 905 and 901
Related Least Common Multiples of 901
Related Least Common Multiples of 905
Frequently Asked Questions on LCM of 901 and 905
1. What is the LCM of 901 and 905?
Answer: LCM of 901 and 905 is 815405.
2. What are the Factors of 901?
Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.
3. What are the Factors of 905?
Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.
4. How to Find the LCM of 901 and 905?
Answer:
Least Common Multiple of 901 and 905 = 815405
Step 1: Find the prime factorization of 901
901 = 17 x 53
Step 2: Find the prime factorization of 905
905 = 5 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 815405 = 5 x 17 x 53 x 181
Step 4: Therefore, the least common multiple of 901 and 905 is 815405.