Least Common Multiple of 894 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 894 and 901 the smallest integer that is 805494 that is divisible by both numbers.
Least Common Multiple (LCM) of 894 and 901 is 805494.
LCM(894,901) = 805494
LCM of 894 and 901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 894 and 901 by Prime method
- Least Common Multiple of 894 and 901 with GCF Formula
LCM of 894 and 901 is 805494
Least common multiple can be found by multiplying the highest exponent prime factors of 894 and 901. First we will calculate the prime factors of 894 and 901.
Prime Factorization of 894
| 2 | 894 |
| 3 | 447 |
| 149 | 149 |
| 1 |
Prime factors of 894 are 2, 3,149. Prime factorization of 894 in exponential form is:
894 = 21×31×1491
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 894 and 901.
LCM(894,901) = 21×31×171×531×1491
LCM(894,901) = 805494
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Least Common Multiple of 894 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 894 and 901, than apply into the LCM equation.
GCF(894,901) = 1
LCM(894,901) = ( 894 × 901) / 1
LCM(894,901) = 805494 / 1
LCM(894,901) = 805494
Properties of LCM 894 and 901
(i) The LCM of 901 and 894 is associative
LCM of 894 and 901 = LCM of 901 and 894
Related Least Common Multiples of 894
Related Least Common Multiples of 901
Frequently Asked Questions on LCM of 894 and 901
1. What is the LCM of 894 and 901?
Answer: LCM of 894 and 901 is 805494.
2. What are the Factors of 894?
Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.
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 894 and 901?
Answer:
Least Common Multiple of 894 and 901 = 805494
Step 1: Find the prime factorization of 894
894 = 2 x 3 x 149
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 = 805494 = 2 x 3 x 17 x 53 x 149
Step 4: Therefore, the least common multiple of 894 and 901 is 805494.
