Least Common Multiple of 900 and 901
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 900 and 901 the smallest integer that is 810900 that is divisible by both numbers.
Least Common Multiple (LCM) of 900 and 901 is 810900.
LCM(900,901) = 810900
LCM of 900 and 901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 900 and 901 by Prime method
- Least Common Multiple of 900 and 901 with GCF Formula
LCM of 900 and 901 is 810900
Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 901. First we will calculate the prime factors of 900 and 901.
Prime Factorization of 900
| 2 | 900 |
| 2 | 450 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 900 are 2, 3,5. Prime factorization of 900 in exponential form is:
900 = 22×32×52
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
Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 901.
LCM(900,901) = 22×32×52×171×531
LCM(900,901) = 810900
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Least Common Multiple of 900 and 901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 900 and 901, than apply into the LCM equation.
GCF(900,901) = 1
LCM(900,901) = ( 900 × 901) / 1
LCM(900,901) = 810900 / 1
LCM(900,901) = 810900
Properties of LCM 900 and 901
(i) The LCM of 901 and 900 is associative
LCM of 900 and 901 = LCM of 901 and 900
Related Least Common Multiples of 900
Related Least Common Multiples of 901
Frequently Asked Questions on LCM of 900 and 901
1. What is the LCM of 900 and 901?
Answer: LCM of 900 and 901 is 810900.
2. What are the Factors of 900?
Answer: Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. There are 27 integers that are factors of 900. The greatest factor of 900 is 900.
3. 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.
4. How to Find the LCM of 900 and 901?
Answer:
Least Common Multiple of 900 and 901 = 810900
Step 1: Find the prime factorization of 900
900 = 2 x 2 x 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 901
901 = 17 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 810900 = 2 x 2 x 3 x 3 x 5 x 5 x 17 x 53
Step 4: Therefore, the least common multiple of 900 and 901 is 810900.
