Least Common Multiple of 847 and 855
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 855 the smallest integer that is 724185 that is divisible by both numbers.
Least Common Multiple (LCM) of 847 and 855 is 724185.
LCM(847,855) = 724185
LCM of 847 and 855
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 847 and 855 by Prime method
- Least Common Multiple of 847 and 855 with GCF Formula
LCM of 847 and 855 is 724185
Least common multiple can be found by multiplying the highest exponent prime factors of 847 and 855. First we will calculate the prime factors of 847 and 855.
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 855
| 3 | 855 |
| 3 | 285 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 855 are 3, 5,19. Prime factorization of 855 in exponential form is:
855 = 32×51×191
Now multiplying the highest exponent prime factors to calculate the LCM of 847 and 855.
LCM(847,855) = 32×51×71×112×191
LCM(847,855) = 724185
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Least Common Multiple of 847 and 855 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 855, than apply into the LCM equation.
GCF(847,855) = 1
LCM(847,855) = ( 847 × 855) / 1
LCM(847,855) = 724185 / 1
LCM(847,855) = 724185
Properties of LCM 847 and 855
(i) The LCM of 855 and 847 is associative
LCM of 847 and 855 = LCM of 855 and 847
Related Least Common Multiples of 847
Related Least Common Multiples of 855
Frequently Asked Questions on LCM of 847 and 855
1. What is the LCM of 847 and 855?
Answer: LCM of 847 and 855 is 724185.
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 855?
Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.
4. How to Find the LCM of 847 and 855?
Answer:
Least Common Multiple of 847 and 855 = 724185
Step 1: Find the prime factorization of 847
847 = 7 x 11 x 11
Step 2: Find the prime factorization of 855
855 = 3 x 3 x 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 724185 = 3 x 3 x 5 x 7 x 11 x 11 x 19
Step 4: Therefore, the least common multiple of 847 and 855 is 724185.