Least Common Multiple of 845 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 845 and 850 the smallest integer that is 143650 that is divisible by both numbers.
Least Common Multiple (LCM) of 845 and 850 is 143650.
LCM(845,850) = 143650
LCM of 845 and 850
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 845 and 850 by Prime method
- Least Common Multiple of 845 and 850 with GCF Formula
LCM of 845 and 850 is 143650
Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 850. First we will calculate the prime factors of 845 and 850.
Prime Factorization of 845
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:
845 = 51×132
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 845 and 850.
LCM(845,850) = 21×52×132×171
LCM(845,850) = 143650
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
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 845 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 845 and 850, than apply into the LCM equation.
GCF(845,850) = 5
LCM(845,850) = ( 845 × 850) / 5
LCM(845,850) = 718250 / 5
LCM(845,850) = 143650
Properties of LCM 845 and 850
(i) The LCM of 850 and 845 is associative
LCM of 845 and 850 = LCM of 850 and 845
Related Least Common Multiples of 845
Related Least Common Multiples of 850
Frequently Asked Questions on LCM of 845 and 850
1. What is the LCM of 845 and 850?
Answer: LCM of 845 and 850 is 143650.
2. What are the Factors of 845?
Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.
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 845 and 850?
Answer:
Least Common Multiple of 845 and 850 = 143650
Step 1: Find the prime factorization of 845
845 = 5 x 13 x 13
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 = 143650 = 2 x 5 x 5 x 13 x 13 x 17
Step 4: Therefore, the least common multiple of 845 and 850 is 143650.
