Least Common Multiple of 894 and 899
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 899 the smallest integer that is 803706 that is divisible by both numbers.
Least Common Multiple (LCM) of 894 and 899 is 803706.
LCM(894,899) = 803706
LCM of 894 and 899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 894 and 899 by Prime method
- Least Common Multiple of 894 and 899 with GCF Formula
LCM of 894 and 899 is 803706
Least common multiple can be found by multiplying the highest exponent prime factors of 894 and 899. First we will calculate the prime factors of 894 and 899.
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 899
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:
899 = 291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 894 and 899.
LCM(894,899) = 21×31×291×311×1491
LCM(894,899) = 803706
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 899
List of positive integer factors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Least Common Multiple of 894 and 899 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 899, than apply into the LCM equation.
GCF(894,899) = 1
LCM(894,899) = ( 894 × 899) / 1
LCM(894,899) = 803706 / 1
LCM(894,899) = 803706
Properties of LCM 894 and 899
(i) The LCM of 899 and 894 is associative
LCM of 894 and 899 = LCM of 899 and 894
Related Least Common Multiples of 894
Related Least Common Multiples of 899
Frequently Asked Questions on LCM of 894 and 899
1. What is the LCM of 894 and 899?
Answer: LCM of 894 and 899 is 803706.
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 899?
Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.
4. How to Find the LCM of 894 and 899?
Answer:
Least Common Multiple of 894 and 899 = 803706
Step 1: Find the prime factorization of 894
894 = 2 x 3 x 149
Step 2: Find the prime factorization of 899
899 = 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 803706 = 2 x 3 x 29 x 31 x 149
Step 4: Therefore, the least common multiple of 894 and 899 is 803706.