Least Common Multiple of 901 and 902
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 902 the smallest integer that is 812702 that is divisible by both numbers.
Least Common Multiple (LCM) of 901 and 902 is 812702.
LCM(901,902) = 812702
LCM of 901 and 902
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 901 and 902 by Prime method
- Least Common Multiple of 901 and 902 with GCF Formula
LCM of 901 and 902 is 812702
Least common multiple can be found by multiplying the highest exponent prime factors of 901 and 902. First we will calculate the prime factors of 901 and 902.
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 902
| 2 | 902 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 902 are 2, 11,41. Prime factorization of 902 in exponential form is:
902 = 21×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 901 and 902.
LCM(901,902) = 21×111×171×411×531
LCM(901,902) = 812702
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Least Common Multiple of 901 and 902 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 902, than apply into the LCM equation.
GCF(901,902) = 1
LCM(901,902) = ( 901 × 902) / 1
LCM(901,902) = 812702 / 1
LCM(901,902) = 812702
Properties of LCM 901 and 902
(i) The LCM of 902 and 901 is associative
LCM of 901 and 902 = LCM of 902 and 901
Related Least Common Multiples of 901
Related Least Common Multiples of 902
Frequently Asked Questions on LCM of 901 and 902
1. What is the LCM of 901 and 902?
Answer: LCM of 901 and 902 is 812702.
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 902?
Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.
4. How to Find the LCM of 901 and 902?
Answer:
Least Common Multiple of 901 and 902 = 812702
Step 1: Find the prime factorization of 901
901 = 17 x 53
Step 2: Find the prime factorization of 902
902 = 2 x 11 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 = 812702 = 2 x 11 x 17 x 41 x 53
Step 4: Therefore, the least common multiple of 901 and 902 is 812702.
