Least Common Multiple of 847 and 851
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 847 and 851 the smallest integer that is 720797 that is divisible by both numbers.
Least Common Multiple (LCM) of 847 and 851 is 720797.
LCM(847,851) = 720797
LCM of 847 and 851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 847 and 851 by Prime method
- Least Common Multiple of 847 and 851 with GCF Formula
LCM of 847 and 851 is 720797
Least common multiple can be found by multiplying the highest exponent prime factors of 847 and 851. First we will calculate the prime factors of 847 and 851.
Prime Factorization of 847
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:
847 = 71×112
Prime Factorization of 851
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:
851 = 231×371
Now multiplying the highest exponent prime factors to calculate the LCM of 847 and 851.
LCM(847,851) = 71×112×231×371
LCM(847,851) = 720797
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Least Common Multiple of 847 and 851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 847 and 851, than apply into the LCM equation.
GCF(847,851) = 1
LCM(847,851) = ( 847 × 851) / 1
LCM(847,851) = 720797 / 1
LCM(847,851) = 720797
Properties of LCM 847 and 851
(i) The LCM of 851 and 847 is associative
LCM of 847 and 851 = LCM of 851 and 847
Related Least Common Multiples of 847
Related Least Common Multiples of 851
Frequently Asked Questions on LCM of 847 and 851
1. What is the LCM of 847 and 851?
Answer: LCM of 847 and 851 is 720797.
2. What are the Factors of 847?
Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.
3. What are the Factors of 851?
Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.
4. How to Find the LCM of 847 and 851?
Answer:
Least Common Multiple of 847 and 851 = 720797
Step 1: Find the prime factorization of 847
847 = 7 x 11 x 11
Step 2: Find the prime factorization of 851
851 = 23 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 720797 = 7 x 11 x 11 x 23 x 37
Step 4: Therefore, the least common multiple of 847 and 851 is 720797.