Least Common Multiple of 847 and 849

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 849 the smallest integer that is 719103 that is divisible by both numbers.

Least Common Multiple (LCM) of 847 and 849 is 719103.

LCM(847,849) = 719103

LCM of 847 and 849

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 847 and 849

LCM of 847 and 849 is 719103

Least common multiple can be found by multiplying the highest exponent prime factors of 847 and 849. First we will calculate the prime factors of 847 and 849.

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 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 847 and 849.

LCM(847,849) = 31×71×112×2831
LCM(847,849) = 719103

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Least Common Multiple of 847 and 849 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 849, than apply into the LCM equation.

GCF(847,849) = 1
LCM(847,849) = ( 847 × 849) / 1
LCM(847,849) = 719103 / 1
LCM(847,849) = 719103

Properties of LCM 847 and 849

(i) The LCM of 849 and 847 is associative

LCM of 847 and 849 = LCM of 849 and 847

Related Least Common Multiples of 847

Related Least Common Multiples of 849

Frequently Asked Questions on LCM of 847 and 849

1. What is the LCM of 847 and 849?

Answer: LCM of 847 and 849 is 719103.

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 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

4. How to Find the LCM of 847 and 849?

Answer:

Least Common Multiple of 847 and 849 = 719103

Step 1: Find the prime factorization of 847

847 = 7 x 11 x 11

Step 2: Find the prime factorization of 849

849 = 3 x 283

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 719103 = 3 x 7 x 11 x 11 x 283

Step 4: Therefore, the least common multiple of 847 and 849 is 719103.