Least Common Multiple of 843 and 850
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 843 and 850 the smallest integer that is 716550 that is divisible by both numbers.
Least Common Multiple (LCM) of 843 and 850 is 716550.
LCM(843,850) = 716550
LCM of 843 and 850
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 843 and 850 by Prime method
- Least Common Multiple of 843 and 850 with GCF Formula
LCM of 843 and 850 is 716550
Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 850. First we will calculate the prime factors of 843 and 850.
Prime Factorization of 843
| 3 | 843 |
| 281 | 281 |
| 1 |
Prime factors of 843 are 3,281. Prime factorization of 843 in exponential form is:
843 = 31×2811
Prime Factorization of 850
| 2 | 850 |
| 5 | 425 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 850 are 2, 5,17. Prime factorization of 850 in exponential form is:
850 = 21×52×171
Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 850.
LCM(843,850) = 21×31×52×171×2811
LCM(843,850) = 716550
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Least Common Multiple of 843 and 850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 843 and 850, than apply into the LCM equation.
GCF(843,850) = 1
LCM(843,850) = ( 843 × 850) / 1
LCM(843,850) = 716550 / 1
LCM(843,850) = 716550
Properties of LCM 843 and 850
(i) The LCM of 850 and 843 is associative
LCM of 843 and 850 = LCM of 850 and 843
Related Least Common Multiples of 843
Related Least Common Multiples of 850
Frequently Asked Questions on LCM of 843 and 850
1. What is the LCM of 843 and 850?
Answer: LCM of 843 and 850 is 716550.
2. What are the Factors of 843?
Answer: Factors of 843 are 1, 3, 281, 843. There are 4 integers that are factors of 843. The greatest factor of 843 is 843.
3. What are the Factors of 850?
Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.
4. How to Find the LCM of 843 and 850?
Answer:
Least Common Multiple of 843 and 850 = 716550
Step 1: Find the prime factorization of 843
843 = 3 x 281
Step 2: Find the prime factorization of 850
850 = 2 x 5 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 716550 = 2 x 3 x 5 x 5 x 17 x 281
Step 4: Therefore, the least common multiple of 843 and 850 is 716550.
